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

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

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

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

TrashMan914
 2 years 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.
 2 years ago
Best ResponseYou've already chosen the best response.0Quotient rule with respect to (t)..

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

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

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

Dodo1
 2 years 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

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

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

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

Dodo1
 2 years 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.
 2 years ago
Best ResponseYou've already chosen the best response.0is the question this?\[\Large w=\frac{\sqrt{x}}{3^t t+2^2}\]

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

.Sam.
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0no you dont use log. i have not learnt that yet

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

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

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

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

mathsmind
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0please show me step by step.

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

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

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

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

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

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

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

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

Dodo1
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1\[u = 3^t, \space du = 3^t \ln(3)\]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

mathsmind
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0the whole thing and if i have a question can i ask?

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

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

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

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

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

mathsmind
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0Ok thank you for the fact.

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

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

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

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

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

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

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

mathsmind
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0O. I see sorry i was misleading

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Dodo1
 2 years 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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