Let f(x) = x³ + 6x² (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) = 96x + 19. (b) Use the definition of a derivative or the derivative rules to find f''(x) = For the next parts of the problem, used closed interval notation to enter your answer (c) ¿On what interval is f increasing (or more specifically, non-decreasing)? interval of increasing = (d) ¿On what interval is f decreasing (or more specifically, non-increasing)? interval of decreasing (e) ¿On what interval is f concave downward (include the endpoints in the interval)? interval of downward concavity = (f) ¿On what interval is f concave upward (include the endpoints in the interval)? interval of upward concavity: =

Let f(x) = x³ + 6x² (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) = 96x + 19. (b) Use the definition of a derivative or the derivative rules to find f''(x) = For the next parts of the problem, used closed interval notation to enter your answer (c) ¿On what interval is f increasing (or more specifically, non-decreasing)? interval of increasing = (d) ¿On what interval is f decreasing (or more specifically, non-increasing)? interval of decreasing (e) ¿On what interval is f concave downward (include the endpoints in the interval)? interval of downward concavity = (f) ¿On what interval is f concave upward (include the endpoints in the interval)? interval of upward concavity: =

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 35E

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