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anonymous
 3 years ago
find the derivative of e^(tan1(x))
anonymous
 3 years ago
find the derivative of e^(tan1(x))

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ash2326
 3 years ago
Best ResponseYou've already chosen the best response.0Use chain rule here \[\frac{d}{dx} (f(gx))=f'(x) \times \frac d {dx } g(x)\] Can you try @aprilanahi ?

tkhunny
 3 years ago
Best ResponseYou've already chosen the best response.0Wow! That was an interesting effort... If \( y = e^{atan(x)}\), then \(ln(y) = atan(x)\). Implicit differentiation provides: \(\dfrac{y'}{y} = \dfrac{1}{1+x^{2}}\) And we are done. \(y' = \dfrac{e^{atan(x)}}{1+x^{2}}\)
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