Question

Can anyone show the work for using the difference quitent for x^3

Answer 1

\[f(x)=x^3, \frac{f(a+h)-f(a)}{h}\]

Answer 2

(f(a+h)-f(a))/h
=((a+h)^3-a^3)/h
=(h^3+3h^2a+3ha^2+a^3-a^3)/h
=(h^3+3h^2a+3ha^2)/h
=h(h^2+3ha+3a^2)/h
=h^2+3ha+3a^2

its usually used when h->0
so =3a^2

Answer 3

*lim h->0

Answer 4

I came up with 2a^2+2ah+h^2 So now i'm attempting to figure where i went wrong, thanks for the help

Answer 5

np