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: \(\frac{d}{dx} {x}^{n}=n{x}^{n-1}\)
\[2{x}^{3}\]

Done