# Problem of the Week

## Updated at Jan 20, 2020 12:10 PM

This week's problem comes from the calculus category.

How would you differentiate $$8x+{e}^{x}$$?

Let's begin!

$\frac{d}{dx} 8x+{e}^{x}$

 1 Use Sum Rule: $$\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))$$.$(\frac{d}{dx} 8x)+(\frac{d}{dx} {e}^{x})$2 Use Power Rule: $$\frac{d}{dx} {x}^{n}=n{x}^{n-1}$$.$8+(\frac{d}{dx} {e}^{x})$3 The derivative of $${e}^{x}$$ is $${e}^{x}$$.$8+{e}^{x}$Done8+e^x