Problem of the Week

Updated at Jan 20, 2020 12:10 PM

This week's problem comes from the calculus category.

How would you differentiate \(8x+{e}^{x}\)?

Let's begin!



\[\frac{d}{dx} 8x+{e}^{x}\]

1
Use Sum Rule: \(\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))\).
\[(\frac{d}{dx} 8x)+(\frac{d}{dx} {e}^{x})\]

2
Use Power Rule: \(\frac{d}{dx} {x}^{n}=n{x}^{n-1}\).
\[8+(\frac{d}{dx} {e}^{x})\]

3
The derivative of \({e}^{x}\) is \({e}^{x}\).
\[8+{e}^{x}\]

Done
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