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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?
 one year ago
 one year 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?
 one year ago
 one year ago

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Jemurray3Best ResponseYou've already chosen the best response.0
\[(8x)^2 \neq 8x^2\]
 one year ago

AJW99Best ResponseYou've already chosen the best response.0
If I switch it to be 8x^2 it still isn't correct
 one year ago

AJW99Best ResponseYou've already chosen the best response.0
(8x)^2 doesn't work either
 one year ago

Jemurray3Best ResponseYou've already chosen the best response.0
If \[f(x) = x^2\tan^{1}(8x) \] then \[f'(x) = 2x\tan^{1}(8x) + \frac{8x^2}{1+64x^2}\] You have to use the chain rule or the last part.
 one year ago
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