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What is derivative of function f(x) = sin(2x+ln(e^x))?

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What is derivative of function f(x) = sin(2x+ln(e^x))?

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`f(x) = sin(2x+ln(e^x))`

`f'(x)=cos(2x+ln(e^x))*(2+1/e^x*e^x)`

`=cos(2x+ln(e^x))*(2+1)`

`=3cos(2x+ln(e^x))`

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