Hard derivative problem, please help!
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Hard derivative problem, please help!

[From: ] [author: ] [Date: 11-05-24] [Hit: ]
notice that an e^(x^2) is in every spot so cancel one out.then you can factor stuff out...the 2 can go outside, you can factor out a sin but that would be unecesary.......
Find the derivative of f(x) = (sin^2(x) tan^4(x))/e^(x^2)

I made the fraction into multiplication and then applied the product rule. I got stuck at the e side!

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Quotient rule:
bottom(derivative of top) - top(derivative of bottom) all over the bottom squared
{[e^(x^2)] x [2sinxcosx + 4tan^3xsec^2x] - [(sin^2xtan^4x) x 2xe^(x^2)]} / (e^(x^2))^2

notice that an e^(x^2) is in every spot so cancel one out. so then you get:

{2sinxcosx + 4tan^3xsec^2x - 2xsin^2xtan^4x} / e^(x^2)

then you can factor stuff out...the 2 can go outside, you can factor out a sin but that would be unecesary.
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