Find the derivative of the following function.

Name: Find the derivative of the following function.
Brand: Quizplus
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Question

Find the derivative of the following function. ​  ​

Quizplus · Accepted Answer

The given function is in the form of $f(x)=e^{g(x)}$ where $g(x)=\ln(x^3+1)$. 
The derivative of $f(x)=e^{g(x)}$ is $f'(x)=e^{g(x)}\cdot g'(x)$. 
Taking the derivative of $g(x)$, we get $g'(x)=\frac{3x^2}{x^3+1}$. 
Therefore, $f'(x)=e^{\ln(x^3+1)}\cdot\frac{3x^2}{x^3+1}=\boxed{11ea984b_b1c3_323f_9029_cd2abdd688e2_TB4005_11}$.

Find the Derivative of the Following Function