Question #ecd71

1 Answer
Jan 21, 2016

2x+2

Explanation:

Simple, here one has to use two of the basic results of differentiation, that is \frac{d}{dx}(x^n)=nx^{n-1} and \frac{d}{dx}(kx^n)=k\frac{d}{dx}(x^n) where k is a constant.

So, taking the above function at hand, if we go on to differentiate it, we get \frac{d}{dx}(x^2)+\frac{d}{dx}(2x)=2x^(2-1)+2*1x^(1-1)

So, simplifying the power terms, we get what was the answer provided above.