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



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franciscanmonk
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what have you got so far?

jeffrey_beltran
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i replaced the 4piex to u

franciscanmonk
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oh yeah. sorry i forgot this part of derivatives.

tjones89
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try replacing tan(4 pi x) with u so you have 2(u)^3 then use the chain rule from there

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

tjones89
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can you show me the steps you took to get that?

jeffrey_beltran
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i did the product rule and chain

tjones89
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you dont have to use the product rule here

tjones89
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the first step is to differentiate 2(u)^3 with respect to u

jeffrey_beltran
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ok i get that

tjones89
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what do you get?

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

tjones89
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to differentiate 2(u)^3 with respect to u, you just need to use the power rule so it becomes
6u^2

jeffrey_beltran
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oops i did the wrong prob!!

tjones89
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oh so what is the problem you need to solve?

jeffrey_beltran
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that same prob but i did the wrong work

tjones89
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ok so can you differentiate 2u^3?