Homework SourseLet fx x23 Find and simplify the difference quotient F1h f
Let f(x) = x^2-3. Find and simplify the difference quotient:
F(1+h) - f(1)/h
Let f(x) = x^2-3. Find and simplify the difference quotient:
F(1+h) - f(1)/h
F(1+h) - f(1)/h
Solution
f(x) = x^2 -3
F(1+h) = (1+h)^2 - 3 ( plug x= 1+h)
= 1 +h^2 +2h -3 = h^2 -2 +2h
F(1) = 1^2 -3 =-2 ( plug x = 1)
{F(1+h) -F(h)}/h = ( h^2 +2h -2 +2)/h
=(h^2 +2h)/h
= h+2
=
