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 x42\frac{{x}^{4}}{2}?

Let's begin!



ddxx42\frac{d}{dx} \frac{{x}^{4}}{2}

1
Use Constant Factor Rule: ddxcf(x)=c(ddxf(x))\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x)).
12(ddxx4)\frac{1}{2}(\frac{d}{dx} {x}^{4})

2
Use Power Rule: ddxxn=nxn−1\frac{d}{dx} {x}^{n}=n{x}^{n-1}.
2x32{x}^{3}

Done
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