In Exercises 1 6, use the First Derivative Test to determine the local'extreme values of the function, and identify any absolute extrema Support your answers graphically 1 y x x 1 2 y 2x 6x 3 3 y 2x4 4x 1 4 y xel x 6 y (3 x, x 0 (x 1, 5 y x8 2 In Exercises 7 12, use the Concavity Test to determine the intervals on which the graph of the function is (a) concave up and (b) concave down 7 y 4x 21x2 36x 20 8 y x 4x 4x 1 9 y 2x1 5 3 10 y 5 x1 3 11 y (2x, x 1 (2 x, 12 y e, 0sx 2 XM In Exercises 13 20, find all points of inflection of the function 13 y xet 15 y tanx 14 y xV9 2 16 y x(4x) 17 y x (x 4) 18 y x 2(x 3) 23 23 y f'(x) 2 2 24 y f'(x) 19 y x 2x x 1 x 2 x 20 y In Exercises 21 and 22, use the graph of the function f to estimate where (a) f' and (b) f are 0, positive, and negative 21 y y f(x) In Exercises 25 28, a particle is moving along the x axis with posi tion function x(t) Find the (a) velocity and (b) acceleration, and (c) describe the motion of the particle for 0 25 x(t) 41 3 27 x(t) 3 31 3 26 x(t) 6 21 12 28 x(t) 312 213 In Exercises 29 and 30, the graph of the position function y s(t) of a particle moving along a line is given At approximately what times is the particle's (a) velocity equal to zero (b) acceleration equal to zero 29 0 22 y f(x) In Exercises 23 and 24, use the graph of the function f' to estimate the intervals on which the function fis (a) increasing or (b) decreas ing Also, (c) estimate the x coordinates of all local extreme values 30 30 Distance from origin Distance from origin y s(1) 5 Time (sec) 10 y s(t) Time (sec) 10 for 15 15

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Question: In Exercises 1-6, use the First Derivative Test to determine the local'extreme values of the function, and identify any absolute extrema. Support your answers

In Exercises 1-6, use the First Derivative Test to determine the local'extreme

values of the function, and identify any absolute extrema. Support your answers

In Exercises 1-6, use the First Derivative Test to determine the local'extreme values of the function, and identify any absolute extrema. Support your answers graphically. 1. y=x-x-1 2. y = -2x+6x - 3 3. y = 2x4 4x + 1 - 4. y = xel/x 6. y = (3-x, x

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