# Problem of the Week

## Updated at Oct 12, 2015 10:24 AM

To get more practice in calculus, we brought you this problem of the week:

How can we find the derivative of $${x}^{6}+\tan{x}$$?

Check out the solution below!

$\frac{d}{dx} {x}^{6}+\tan{x}$

 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}^{6})+(\frac{d}{dx} \tan{x})$2 Use Power Rule: $$\frac{d}{dx} {x}^{n}=n{x}^{n-1}$$.$6{x}^{5}+(\frac{d}{dx} \tan{x})$3 Use Trigonometric Differentiation: the derivative of $$\tan{x}$$ is $$\sec^{2}x$$.$6{x}^{5}+\sec^{2}x$Done6*x^5+sec(x)^2