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

Done
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