Problem of the Week

Updated at Apr 10, 2017 2:24 PM

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

How can we find the derivative of \({x}^{6}+{e}^{x}\)?

Check out the solution below!



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

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

2
Use Power Rule: \(\frac{d}{dx} {x}^{n}=n{x}^{n-1}\).
\[6{x}^{5}+(\frac{d}{dx} {e}^{x})\]

3
The derivative of \({e}^{x}\) is \({e}^{x}\).
\[6{x}^{5}+{e}^{x}\]

Done
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