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Differentiate the function? y = (ln(1 + e^x))^5

1 Answer

Oct 1, 2017

#dy/dx=(5e^xln^4(1+e^x))/(1+e^x)#

Explanation:

#y=ln^5(1+e^x)#

By the chain rule,

#dy/dx=5ln^4(1+e^x)*d/dx[ln(1+e^x)]=5ln^4(1+e^x)*(d/dx(1+e^x))/(1+e^x)=(5e^xln^4(1+e^x))/(1+e^x)#

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