Problem of the Week

Updated at Sep 15, 2014 5:49 PM

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

How would you differentiate $${e}^{x}-{x}^{6}$$?

Check out the solution below!

$\frac{d}{dx} {e}^{x}-{x}^{6}$

 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} -{x}^{6})$2 The derivative of $${e}^{x}$$ is $${e}^{x}$$.${e}^{x}+(\frac{d}{dx} -{x}^{6})$3 Use Power Rule: $$\frac{d}{dx} {x}^{n}=n{x}^{n-1}$$.${e}^{x}-6{x}^{5}$Donee^x-6*x^5