# Problem of the Week

## Updated at Jul 7, 2014 11:49 AM

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

How would you differentiate $${e}^{x}-\tan{x}$$?

Check out the solution below!

$\frac{d}{dx} {e}^{x}-\tan{x}$

 1 Use Sum Rule: $$\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))$$.$(\frac{d}{dx} {e}^{x})-(\frac{d}{dx} \tan{x})$2 The derivative of $${e}^{x}$$ is $${e}^{x}$$.${e}^{x}-(\frac{d}{dx} \tan{x})$3 Use Trigonometric Differentiation: the derivative of $$\tan{x}$$ is $$\sec^{2}x$$.${e}^{x}-\sec^{2}x$Donee^x-sec(x)^2