Problem of the Week

Updated at Sep 15, 2014 5:49 PM

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

How would you differentiate \({e}^{x}-{x}^{6}\)?

Check out the solution below!



\[\frac{d}{dx} {e}^{x}-{x}^{6}\]

1
Use Sum Rule: \(\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))\).
\[(\frac{d}{dx} {e}^{x})+(\frac{d}{dx} -{x}^{6})\]

2
The derivative of \({e}^{x}\) is \({e}^{x}\).
\[{e}^{x}+(\frac{d}{dx} -{x}^{6})\]

3
Use Power Rule: \(\frac{d}{dx} {x}^{n}=n{x}^{n-1}\).
\[{e}^{x}-6{x}^{5}\]

Done
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