(4) Consider f (x) = x + x - 3x + 2. Part of the graph of f is shown There is a maximum point at M, and a point of inflexion at N. a) Find f' (x). N (b) Find the X-coordinate of M. (c) Find the X-coordinate of N. (d) The line L is the tangent to the curve of f at x=3. Find the equation of L in the form y = ax + b.

#8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²3/ #10.) a) Determine the values of x where the graph of each function has a horizontal tangent i> y=(x²-435 -ii) y= (x³ -x)² to x + 5y -10 = D. #12.3 A tangent to the parabola y=3x²-7x +5 is perpendicular Determine the equation of the tangent. #13.) The line y = 8x tb tangent to the curve y² 2x². Determine the point of tangency and the value of b #29. Find numbers a, b, and c so that the graph of f(x) = ax² + bx tc has and a tangent with Slope 16 where x = 2 x-intercepts at (0,0) and (8.0)

5. a) Identify f, f', and f' from the graph below. b) Sketch the graph of the derivative in the blank box. -4 c) State where the function is not differentiable and explain why.