Find the difference quotient and simplify your answer fx 7x
Find the difference quotient and simplify your answer. f(x) = 7x^2 - 6x, f(x + h) - f(h)/h, h noteqeualto
Solution
f(x+h)-f(x) = 7(x+h)^2-6(x+h)-7x^2-6x
f(x+h)-f(x) = 7(x^2+h^2+2xh)-6x-6h-7x^2-6x
f(x+h)-f(x) = 7x^2+7h^2+14xh-6x-6h-7x^2-6x
f(x+h)-f(x) = 7h^2+14xh-6h
f(x+h)-f(x)/h = 7h+14x-6
So, answer is 7h+14x-6
