Problem of the Week

Updated at Jan 11, 2016 2:43 PM

This week we have another calculus problem:

How would you differentiate 1x72\frac{1}{{x}^{\frac{7}{2}}}?

Let's start!



ddx1x72\frac{d}{dx} \frac{1}{{x}^{\frac{7}{2}}}

1
Use Power Rule: ddxxn=nxn−1\frac{d}{dx} {x}^{n}=n{x}^{n-1}.
−72x92-\frac{7}{2{x}^{\frac{9}{2}}}

Done
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