# Problem of the Week

## Updated at Sep 25, 2017 8:20 AM

This week's problem comes from the calculus category.

How can we solve for the derivative of $${x}^{2}+\tan{x}$$?

Let's begin!

$\frac{d}{dx} {x}^{2}+\tan{x}$

 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}^{2})+(\frac{d}{dx} \tan{x})$2 Use Power Rule: $$\frac{d}{dx} {x}^{n}=n{x}^{n-1}$$.$2x+(\frac{d}{dx} \tan{x})$3 Use Trigonometric Differentiation: the derivative of $$\tan{x}$$ is $$\sec^{2}x$$.$2x+\sec^{2}x$Done2*x+sec(x)^2