5:46 37 Done Calculus and Vectors Lesson 8 1. Explain, using the first derivative test, how you can determine if a critical number is a maximum or a minimum. Include a diagram with your explanation. N Determine the critical number(s) for the following functions. f(x) = 17 - 6x + 12x2 b. f(x) = x3 - 3x +2 f(x) = XVx- 1 C. t = 72 + 1 w Find the intervals of increase and decrease for the following. y = 2x2 - 8x + 1 b. y = x2 + 0 Find the maximum and minimum points for the following. a. f(x) = 3x3 - 2x b. f ( x) = (x2 - 9)3