# Problem of the Week

## Updated at Aug 18, 2014 3:35 PM

This week's problem comes from the calculus category.

How can we solve for the derivative of $$\frac{{x}^{4}}{2}$$?

Let's begin!

$\frac{d}{dx} \frac{{x}^{4}}{2}$

 1 Use Constant Factor Rule: $$\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x))$$.$\frac{1}{2}(\frac{d}{dx} {x}^{4})$2 Use Power Rule: $$\frac{d}{dx} {x}^{n}=n{x}^{n-1}$$.$2{x}^{3}$Done2*x^3