Problem of the Week

Updated at Nov 28, 2016 1:11 PM

For this week we've brought you this calculus problem.

How can we solve for the derivative of \(\frac{{x}^{4}}{9}\)?

Here are the steps:



\[\frac{d}{dx} \frac{{x}^{4}}{9}\]

1
Use Constant Factor Rule: \(\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x))\).
\[\frac{1}{9}(\frac{d}{dx} {x}^{4})\]

2
Use Power Rule: \(\frac{d}{dx} {x}^{n}=n{x}^{n-1}\).
\[\frac{4{x}^{3}}{9}\]

Done
Cymath foriOSAndroid