Problem of the Week

Updated at Aug 15, 2016 1:05 PM

This week's problem comes from the calculus category.

How can we solve for the derivative of \({e}^{x}-\sec{x}\)?

Let's begin!



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

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

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

3
Use Trigonometric Differentiation: the derivative of \(\sec{x}\) is \(\sec{x}\tan{x}\).
\[{e}^{x}-\sec{x}\tan{x}\]

Done
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