Question

How do you find the derivative of y=xtan(x)y=x^tan(x)?

Answer 1

`y=x^(\tan x)=e^{\ln x^(\tan x)}=e^(\tan x \ln x)\\ y'=e^(\tan x \ln x)\cdot(\sec^2 x\ln x+\tan x \cdot (1)/(x))\\ y'=x^(\tan x)(\sec^2 x\ln x+(\tan x)/(x))\\`

Answer 2

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