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AJW99
 3 years ago
Let f(x)=(x^2)tan^1(8x) find f'(x)
I know that the derivative of arctan is 1/(1+x^2)
So, when I applied the product rule I got (x^2)(1/(1+8x^2))+(arctan(8x))(2x). But this isn't correct. Where am I going wrong on this problem?
AJW99
 3 years ago
Let f(x)=(x^2)tan^1(8x) find f'(x) I know that the derivative of arctan is 1/(1+x^2) So, when I applied the product rule I got (x^2)(1/(1+8x^2))+(arctan(8x))(2x). But this isn't correct. Where am I going wrong on this problem?

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AJW99
 3 years ago
Best ResponseYou've already chosen the best response.0If I switch it to be 8x^2 it still isn't correct

AJW99
 3 years ago
Best ResponseYou've already chosen the best response.0(8x)^2 doesn't work either

Jemurray3
 3 years ago
Best ResponseYou've already chosen the best response.0If \[f(x) = x^2\tan^{1}(8x) \] then \[f'(x) = 2x\tan^{1}(8x) + \frac{8x^2}{1+64x^2}\] You have to use the chain rule or the last part.
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