Problem of the Week

Updated at Feb 24, 2020 3:23 PM

This week we have another calculus problem:

How can we solve for the derivative of \({e}^{n}+7n\)?

Let's start!



\[\frac{d}{dn} {e}^{n}+7n\]

1
Use Sum Rule: \(\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))\).
\[(\frac{d}{dn} {e}^{n})+(\frac{d}{dn} 7n)\]

2
The derivative of \({e}^{x}\) is \({e}^{x}\).
\[{e}^{n}+(\frac{d}{dn} 7n)\]

3
Use Power Rule: \(\frac{d}{dx} {x}^{n}=n{x}^{n-1}\).
\[{e}^{n}+7\]

Done
Cymath foriOSAndroid