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Mathematics 7 Online
OpenStudy (anonymous):

find derivative of g(x)=2tan^3 (4piex)

OpenStudy (anonymous):

what have you got so far?

OpenStudy (anonymous):

i replaced the 4piex to u

OpenStudy (anonymous):

oh yeah. sorry i forgot this part of derivatives.

OpenStudy (anonymous):

try replacing tan(4 pi x) with u so you have 2(u)^3 then use the chain rule from there

OpenStudy (anonymous):

ok i got: 1/2 x^2{(16-x^2)^-1/2(2x)}+(16-x^2)^-1/2 (x)

OpenStudy (anonymous):

can you show me the steps you took to get that?

OpenStudy (anonymous):

i did the product rule and chain

OpenStudy (anonymous):

you dont have to use the product rule here

OpenStudy (anonymous):

the first step is to differentiate 2(u)^3 with respect to u

OpenStudy (anonymous):

ok i get that

OpenStudy (anonymous):

what do you get?

OpenStudy (anonymous):

1/2 x^2 (u)^1/2

OpenStudy (anonymous):

to differentiate 2(u)^3 with respect to u, you just need to use the power rule so it becomes 6u^2

OpenStudy (anonymous):

oops i did the wrong prob!!

OpenStudy (anonymous):

oh so what is the problem you need to solve?

OpenStudy (anonymous):

that same prob but i did the wrong work

OpenStudy (anonymous):

ok so can you differentiate 2u^3?

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