Problem of the Week

Updated at Sep 5, 2016 4:40 PM

This week's problem comes from the calculus category.

How would you differentiate \(\sec{x}+x\)?

Let's begin!



\[\frac{d}{dx} \sec{x}+x\]

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

2
Use Trigonometric Differentiation: the derivative of \(\sec{x}\) is \(\sec{x}\tan{x}\).
\[\sec{x}\tan{x}+(\frac{d}{dx} x)\]

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

Done
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