Question 1031008
Determine the difference quotient f(x+h)-f(x)/h (where h cannot =0) for the function defined by f(x)= -2x^2+4x
------------------
f(x)= -2x^2+4x
f(x+h)= -2(x+h)^2+4(x+h) = -2x^2-4hx-2h^2+4x+4h
----
f(x+h) - f(x)= -2x^2-4hx-2h^2+4x+4h - (-2x^2+4x) = -4hx - 2h^2 + 4h
-----
Diff/h = -4x + 4 - 2h