Please Help! I need to find the difference quotient for.?

Question

Please Help! I need to find the difference quotient for.

f(x+h) – f(x)
----------------
h

for 2 – x^2.

Answer 1

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

Answer 2

f(x + h) = 2 - (x + h)²
f(x + h) = 2 - x² - 2hx - h²
f(x) = 2 - x²
f(x + h) - f(x) / h = - 2x - h is difference quotient