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MTALHAHASSAN2
 one year ago
can how we find the derivative of the following function
3sqrt x 1+x/x^4
MTALHAHASSAN2
 one year ago
can how we find the derivative of the following function 3sqrt x 1+x/x^4

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ill help but you also have to try.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The answer is e3x√(32x−1/2) e3x(32x−1/2)

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0@Redneckk__Lifee but how you get that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0online duhh. and why did you ask my name you already know it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm pretty sure I'm waiting for a medal!!!!!!

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0Okay so we are differentiating \[\sqrt[3]{(x1)}+ \frac{ x }{ x^4 }\] Is that the equation? I want to make sure its correct before we begin

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0@marigirl nope its wrong

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0I meant did i type your QUESTION correctly

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443775238584:dw

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2so its \[f(x) = 3\sqrt{x}  \frac{ 1 + x }{ x^4 }\] ???

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2no, I mean is that the question?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2okay, so what you want to start off doing, is bringing the \[x^4\] to the top, can you show me how you may do this?

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0@FireKat97 wait a sec

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2okay just tag me back whenever you're ready :)

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443777396971:dw

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0here is the question

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0ok so we need to find the derivative of this

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2so its just like the one I'd typed up above?

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0oh yeah know i see

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2so firstly you want to start off by bringing the x^4 up to the top, can you do this and show me what you get?

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0sorry about that

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443777684653:dw

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0wait but why do we move 4

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2close, so I see you have brought up and distributed the x^4 and differentiated the 3x^1/2 and  x^4, but you forgot about the  x^3, do you see what i mean by this?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2I find it easier to move it to the top, distribute it and then differentiate each of the terms

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2I'll show you what I mean

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0yeah plz i am confuse

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2\[f(x) = 3\sqrt{x}  \frac{ 1 + x }{ x^4 }\] = \[3\sqrt{x}  x ^{4} (1 + x)\] do you see what I did here?

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0yeah know that's make a lot of scence

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2I simply brought the x^4 into the numerator position and am now going to distribute it

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2yup so now we can distribute it like so \[3\sqrt{x}  x^{4}  x^{3}\] and now we can differentiate each of the terms, have a go

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2do you see how I got that?

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0wait how you get x^3

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2okay so when we open up \[x^{4} (1 + x)\] we do \[x^{4} (1) x^{4} (x^1)\] and according to index laws, when we multiply something with the same base, we add th powers, so for e.g. \[(a^2).(a^3) = a^5\] so in the same way, \[(x^{4}).(x^1) = x^{4 + 1} = x^{3} \]

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2and now we have three separate terms, which we can differentiate

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2@MTALHAHASSAN2 did you try differentiating?

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0oh yeah i am trying it

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0so are we left up with 3sqrt x^4 x^3

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0and know we have to differentiating?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2yeah we differentiate each of the terms

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0so for the sqrt is it be 1/2sqrt x

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443779376906:dw

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0and what about the x

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2the \[x^{4}  x^{3}\]??

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0is it goona go in the denominater

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2we haven't differentiated those two terms yet..

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2do you want me to show you?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.2okay so you know how we have \[f(x) = 3x^{1/2} x^{4} x^{3}\] you did well in correctly being able to differentiate the first term, but we still have two terms left to differentiate so we should get \[f'(x) = \frac{ 3 }{ 2\sqrt{x} } (4)x^{41} (3)x^{31} \] which can further simplify down to \[f'(x) = \frac{ 3 }{ 2\sqrt{x} } + 4x^{5} + 3x^{4}\] does that make sense?
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