Answered: Given f(x) = ax³ + bx² + 9x + c. Find a…

Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and the slope of the tangent line there is −3. (a). 1 (b.) 2 (c.) -6 (d.) 3

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

Section4.1: Techniques For Finding Derivatives

Problem 36E: Find all points on the graph of fx=x3+9x2+19x-10 where the slope of the tangent line is -5.

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Question

Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of
inflection of the graph of f and the slope of the tangent line there is −3.
(a). 1
(b.) 2
(c.) -6
(d.) 3

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