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.