Problem of the Week

Updated at Feb 29, 2016 2:19 PM

To get more practice in calculus, we brought you this problem of the week:

How would you differentiate \(\frac{1}{7\sqrt{x}}\)?

Check out the solution below!



\[\frac{d}{dx} \frac{1}{7\sqrt{x}}\]

1
Use Constant Factor Rule: \(\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x))\).
\[\frac{1}{7}(\frac{d}{dx} \frac{1}{\sqrt{x}})\]

2
Use Power Rule: \(\frac{d}{dx} {x}^{n}=n{x}^{n-1}\).
\[-\frac{1}{14{x}^{\frac{3}{2}}}\]

Done
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