Consider the following. f(x) = 16 - 3(1-x2)4/3 (a) Find f'(x). f'(x) (b) Graph both f(x)...

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Consider the following. f(x) = 16 - 3(1-x2)4/3 (a) Find f'(x). f'(x) (b) Graph both f(x) and f'(x) with a graphing utility. -4 y 30 20 10 -10 -20 -30 30 20 X O X= F(x) < 0 30 20 X= 10 minimum point ** -10 20 20 (c) Determine x-values where f(x) = 0. (Enter your answers as a comma-separated list.) 10 -10 Determine x-values where f(x) > 0, F(x) <0. (Enter your answers using interval notation.) F(x) > 0 -20 (d) Determine x-values for which f(x) has a maximum or minimum point. (Enter your answers as a comma- separated list.) maximum point (c) Determine x-values where f'(x) = 0. (Enter your answers as a comma-separated list.) X= Determine x-values where f'(x) > 0, f'(x) < 0. (Enter your answers using interval notation.) f'(x) > 0 f'(x) < 0 (d) Determine x-values for which f(x) has a maximum or minimum point. (Enter your answers as a comma- separated list.) maximum point X= minimum point X= Determine where the graph of f(x) is increasing, and where it is decreasing. (Enter your answers using interval notation.) increasing decreasing Consider the following. f(x) = 16 - 3(1-x2)4/3 (a) Find f'(x). f'(x) (b) Graph both f(x) and f'(x) with a graphing utility. -4 y 30 20 10 -10 -20 -30 30 20 X O X= F(x) < 0 30 20 X= 10 minimum point ** -10 20 20 (c) Determine x-values where f(x) = 0. (Enter your answers as a comma-separated list.) 10 -10 Determine x-values where f(x) > 0, F(x) <0. (Enter your answers using interval notation.) F(x) > 0 -20 (d) Determine x-values for which f(x) has a maximum or minimum point. (Enter your answers as a comma- separated list.) maximum point (c) Determine x-values where f'(x) = 0. (Enter your answers as a comma-separated list.) X= Determine x-values where f'(x) > 0, f'(x) < 0. (Enter your answers using interval notation.) f'(x) > 0 f'(x) < 0 (d) Determine x-values for which f(x) has a maximum or minimum point. (Enter your answers as a comma- separated list.) maximum point X= minimum point X= Determine where the graph of f(x) is increasing, and where it is decreasing. (Enter your answers using interval notation.) increasing decreasing