find f(x+h)-f(x)

Question

Question

f(x)= -x^2-x

Answer 1

f(x+h)=

-(x+h)^2 - (x+h) =

-(x^2+ 2xh + h^2) - (x+h) =

-x^2 - 2xh - h^2 - x -h

Subtracting f(x) = -x^2 - x,

the numerator of the difference quotient is:

-2xh - h^2 - h