Question

Given that f(x) = x2 - 7x 12 evaluate f(x h)-f(x)/h

Answer 1

Explanation:

`f(x)=x^2-7x+12\\(f(x+h)-f(x))/(h)=((x+h)^2-7(x+h)+12-x^2+7x-12)/(h)=(2xh+h^2-7h)/(h)=2x-7+h\\f'(x)=\lim_(h\rightarrow0){(f(x+h)-f(x))/(h)}=2x-7`