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Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0\[w=\frac{ \sqrt(x) }{ 2^2+t3^t } \]

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0sorry it should be sart (t)

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1do u want the answer or do u want a step by step solution?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1when u answer my question i sill proceed

TrashMan914
 one year ago
Best ResponseYou've already chosen the best response.0Math, you can't simply give them the answer. It's against CoC. Guide them to it, so they can answer it themselves.

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.0Quotient rule with respect to (t)..

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0g(x)f(x)'f(x)g(x)'/g(x)^2

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.0This right\[w=\frac{\sqrt{x}}{3^t t+2^2}\]

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.0You can use chain rule as well

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0therefore, (2t62+t3^t)d/dx(sqrt(t)sqrt(t)(2t^2+t3^t)/(2t^2+t3^t)^2

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.0Followed by product rule

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0I dont how how to caculate the root.

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0and how to do (2t62+3t^3) to derivative?

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.0The root "x" is just acted like constant, ignore it

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0my teacher told me to do something like 1/2x^1/2? is it wrong

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.0is the question this?\[\Large w=\frac{\sqrt{x}}{3^t t+2^2}\]

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0no \[w=\frac{ Sqrt(t) }{ 2t^2+t3^t }\]

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.0You sure? the answer is \[\Large \frac{dw}{dt}=\frac{3^t+t \left(3^t (9 \log )+6\right)}{2 t^{3/2} \left(2 t+3^t\right)^2}\]

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0no you dont use log. i have not learnt that yet

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.0\[\Large \frac{dw}{dt}=\frac{3^t+t \left(3^t ( \ln(9) )+6\right)}{2 t^{3/2} \left(2 t+3^t\right)^2}\] This?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0mm maybe but is it possible to go simpler than this?

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.0no its not possible, other results are

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0I only have learned power rule, exponential rule and product rule. ( chain rule)

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1step one use the quotient rule..

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1the only trick u have here is 3^t, u may use the table or Doperator...

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0yes I did! its above. I dont know how to break down and power rules.

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0please show me step by step.

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1let me show u how to solve 3^t

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1is that the part ur are struggling with right

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1i will show u step by step but let's break this down

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much. I want to cry right now

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1stop crying and fight for the answer

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1trust me i will let u solve this problem

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1damn i wrote the answer on another post hehehe

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[\[u = 3^t, \space du = 3^t \ln(3)\]\]

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ (2t^2+t3^t)(\sqrt(x)'\sqrt(x)(2t^2+t3^t) }{ (2t^2+t3^t)^2 }\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[u = 3^t, \space du = 3^t \ln(3)\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1now do u know how this happend

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1forget the t for now because i want to show u bit by bit

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1because with the t we will get into the product rule

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0ok, I got it. i am taking note hold on

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1good question, now u r starting to listen and that is a good sign of learning...

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1u= 3^t what happens if you take the natural log of both sides?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0mm im not sure, , negative numbers?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1now do u know how to differentiate both sides?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1ok no problem, first of all we need some log rules

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1did u see what happend to t?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0power of t went outside of 3 and In?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1yes this is a primitive ln rule

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0Do i use this everytime i do product?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1now if y=ln(x) what is y'?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1u mean every time u have a log of a power?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1sorry power of a log

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1now if y=ln(x) what is y'?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1this is basic differentiation of natural log

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1so now back to our question ln(u) = tln(3) differentiate both sides...

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1ok let me make this even simple

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1so u don't get confused

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0thanks for taking your time.

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{d}{dt}a^t=a^tln(a)\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1can u memorize this for now and take it for granted

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1ok use this formula and tell me what is 3^t?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1well done so memorize that please take a note and keep it in ur mind the same way u know ur name...

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1sorry i was replying to another post on set theory ok

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1now tell me how would u differentiate? \[ 2^2+t3^t \]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1no 2^2 is a constant

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1trust me by solving this part we are more than half way of solving the problem

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.12^2=4 so when u differentiate a constant u get zero right!?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1ok listen let me solve it

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1can u see how this happened?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1using the product rule

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0No, wheres 2 go? theres no 2 in the answer

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[u=2^2+t3^t \rightarrow du=(3^t+t3^tln3))dt\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1listen y=4, what is y'?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0zero? beacuse its constant

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1zero well done, so y=2^2, y'=?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1so differentiate now t3^t

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[u=2^2+t3^t \rightarrow du=(3^t+t3^tln3))dt\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1do u know the product rule?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1do u know that rule?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0yes I do qutiotinent rule?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1no i said product rule..

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1do u want me to solve the whole thing then u may go and think about it?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0the whole thing and if i have a question can i ask?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1then how come u are solving such a problem when u need the fundamentals?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0I have rules here but im confused how i am apply to . I am able to solve the basic problems

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0i have test next week and I want to do good :(

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0please help me with this question.

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1I am and i will i promised

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1can u memorize the followings for me ...!

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1if u have u x v then when u want to differentiate it we use something called the product rule...

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0Ok thank you for the fact.

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1if u= x^2 and v = e^x, and we were asked to find the derivative of(uv)

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1we apply this rule u v' + u' v

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1so what u do is u=x^2, u'=2x, v=e^x, u=e^x

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1now can u put the above in the following u v' + u' v

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1if u= x^2 and v = e^x, and we were asked to find the derivative of(uv) so what u do is u=x^2, u'=2x, v=e^x, u=e^x u v' + u' v

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1well done but without the v

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1look at what u wrote

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1what is the v doing in the equation and u got rid of it by subbing the functions in terms of x

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1ok good now solve for ur question t3^t

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1using the product rule then one u just solved above

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1so use the same steps i showed u

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)(2t^2+t3^t)(sqrtx)(sqrtx)(2t^2+t3^t)\] from the producet rule?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1no i said solve this one t2^t, please follow what i am asking u to do...not ur own rules or derrieres

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0but thats what i have told in the class something like that. or maybe I was wrong. could you show me everything and the answer?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0right now, I am very confused. ;/ sorry

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1yes but don't forget we decided to break it a part then when we join everything together u'll see the final answer

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0O. I see sorry i was misleading

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1ok then lead now, so wat is diff of t3^t?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1use the u v' + u' v rule that i just showed u

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1i just told u how to find u' of 3^t

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1i told u to memorize or take a not of it

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\Large w=\frac{\sqrt{t}}{3^t t+2^2}

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large w=\frac{\sqrt{t}}{3^t t+2^2}\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1this is ur equation right?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large w=\frac{\sqrt{t}}{3^t t+2t^2}\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1ok let's us apply the quotient rule

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1so let u =t^(1/2) and v=2t^2+t3^t, so what would u', and v' be?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1or what would du=? and dv=?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0(t^1/2)(2t^2+t3^t)+(2t^2+t3^t)

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1u = t^(1/2) that mean u'=(1/2)t^((1/2))

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1good girl now tell me

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1if v=2t^2+t3^t what is v'?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0how did you guess that i was a girl. 3^2in(3)?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1why do u think i am wrong?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[v=2t^2+t3^t \rightarrow v'=4t+3^t+t(3^tln(3))\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1are u there or surprise?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0sorry i was looking above to recall again.

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1write on a piece of paper

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{g(x)f(x)'f(x)g(x)'}{g(x)^2}\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[g(x)=\sqrt{t} \space and \space f(x)=2t^2+t3^t\]

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0plug into the equation right?

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0but f'(x) and g"(x) needs to be calculated differently

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1g(x) =t^(1/2), what is g'(x)?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1recall \[nt^{(n1)}\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1if u solve this one the ur almost done with the question

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1\[ f(t)=2t^2+t3^t \space f'(t)?\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1what happened to the 2t^2 and the product rule, if u look up i solved this for like 23084920384 times

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1good now plug the whole thing in the quotient rule

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see thank you! i got it~

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1ya but that is not the end

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.1u still have more to the problem

Dodo1
 one year ago
Best ResponseYou've already chosen the best response.0sorry could you wait for 5 mins? im going back to my room and change to my comp?
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