Problem of the Week

Updated at Apr 10, 2017 2:24 PM

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

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

Check out the solution below!

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

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