Consider the following. f(x) = (x² + 6x + 9) (x-3) (a) Find the derivative of the function, and check your work by graphing both your calculated derivative and the numerical derivative of the function. f'(x) = (b) Use your graph of the derivative to find points where the original function has horizontal tangent lines. (Enter your answers as a comma-separated list.) (c) Use a graphing calculator to graph the function and indicate the points found in part (b) on the graph. y y y 40H 40 40K 20 20 J V N Y X X X -5 5 -5 5 5 -20 -20 -20 -40 -40 -40- -40k X Ⓡ

Consider the following. f(x) = (x² + 6x + 9) (x-3) (a) Find the derivative of the function, and check your work by graphing both your calculated derivative and the numerical derivative of the function. f'(x) = (b) Use your graph of the derivative to find points where the original function has horizontal tangent lines. (Enter your answers as a comma-separated list.) (c) Use a graphing calculator to graph the function and indicate the points found in part (b) on the graph. y y y 40H 40 40K 20 20 J V N Y X X X -5 5 -5 5 5 -20 -20 -20 -40 -40 -40- -40k X Ⓡ

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.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 37E

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