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Find the function g(x) satisfying the two conditions: 1. g' (x) = -4096 – x³ 2. The maximum value of g(x) is -3. g(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

Section4.1: 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

Find the function g(x) satisfying the two conditions:
1. g' (x) = -4096 – x³
2. The maximum value of g(x) is -3.
g(x) =

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