Question

Given f(x)=x^2 find F(x+h) - f(x)/h

Answer 1

Hello from MrBillDoesMath!

Answer:

2x + h

Discussion:

This quotient commonly appears in the study of differential Calculus.

For f(x) = x^ 2:

( f(x+h) - f(x) ) /h =

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

( (x^2 + 2xh + h^2) - x^2) / h = => as x^2 - x^2 = 0

( 2xh + h^2 ) /h = => divide by "h"

2x + h

Thank you,

MrB