# Problem of the Week:Derivative of $$\frac{{x}^{4}}{2}$$

Updated at Feb 20, 2017 4:59 PM

To get more practice in calculus, we brought you this problem of the week:

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

Check out the solution below!

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

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