Given the function g(z) = 6z + 54z² + 90z, find the first derivative, g'(x). %3D = (z),6 Notice that g'(z) = 0 when z = Preview %3D - 1, that is, g'(-1) = 0. Now, we want to know whether there is a local minimum or local maximum at a=-1, so we will use the second derivative test. Find the second derivative, g' (z). = (z),,5 Evaluate g(- 1). Preview g'"(-1) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at ar=- 1? At z = - 1 the graph of g(z) is Select an answer %3D Based on the concavity of g(z) at z = - 1, does this mean that there is a local minimum or local maximum at %3D 1? At z = 1 there is a local Select an answer

Given the function g(z) = 6z + 54z² + 90z, find the first derivative, g'(x). %3D = (z),6 Notice that g'(z) = 0 when z = Preview %3D - 1, that is, g'(-1) = 0. Now, we want to know whether there is a local minimum or local maximum at a=-1, so we will use the second derivative test. Find the second derivative, g' (z). = (z),,5 Evaluate g(- 1). Preview g'"(-1) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at ar=- 1? At z = - 1 the graph of g(z) is Select an answer %3D Based on the concavity of g(z) at z = - 1, does this mean that there is a local minimum or local maximum at %3D 1? At z = 1 there is a local Select an 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.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 37E

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