-3 f(x) 10 f'(x) -5 g(x) -2 10 X -3≤x≤-2 positive negative negative positive -2 0 -3 -2 0 The twice-differentiable functions f and g are defined for all real numbers x. Values of f, f, g, and g' for various values of x are given in the table above. The function h is defined by h(x) = f(g(x)). Find h'(-3). Show the computations that lead to your answer.

-3 f(x) 10 f'(x) -5 g(x) -2 10 X -3≤x≤-2 positive negative negative positive -2 0 -3 -2 0 The twice-differentiable functions f and g are defined for all real numbers x. Values of f, f, g, and g' for various values of x are given in the table above. The function h is defined by h(x) = f(g(x)). Find h'(-3). Show the computations that lead to your answer.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 19E

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