# Problem of the Week

## Updated at Nov 22, 2021 3:12 PM

How can we find the derivative of $${e}^{y}+{y}^{6}$$?

Below is the solution.

$\frac{d}{dy} {e}^{y}+{y}^{6}$

 1 Use Sum Rule: $$\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))$$.$(\frac{d}{dy} {e}^{y})+(\frac{d}{dy} {y}^{6})$2 The derivative of $${e}^{x}$$ is $${e}^{x}$$.${e}^{y}+(\frac{d}{dy} {y}^{6})$3 Use Power Rule: $$\frac{d}{dx} {x}^{n}=n{x}^{n-1}$$.${e}^{y}+6{y}^{5}$Donee^y+6*y^5