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

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jigsfix | Student, Undergraduate | eNoter

Posted August 15, 2013 at 5:20 PM via web

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

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llltkl | College Teacher | Valedictorian

Posted August 15, 2013 at 5:34 PM (Answer #1)

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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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