Chapter 9.2, Problem 68E

Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h f(x+h)-f(x) h Determine lim h→0 f'(x) =lim h→0 f'(3) . Simplify completely. f(x+h)-f(x) h Determine the slope of f at x = 3. f(x+h)-f(x) h . Simplify completely.

a) Sketch the graph of the function f (x) = {2x – 3 if x 2 %3D then evaluate lim f(x), lim f(x) at a = 2. X --> a+ X --> a- b) Find the derivative of the following function f (x) = 3x5 – 2x4 + 3x2 - 2x + 1 %3D c) Find the derivative of the following function g (x) = (1+x) e d) Find the derivative of the following function h (x) = (x + ) %3D

Consider the function f(x) whose graph is shown below: