Suppose f: R³. → R is a differentiable function which has an absolute maximum value M # 0 and an absolute minimum m. Suppose further that m = M. What can be said about its derivative Dƒ? PD-(9) Df= 0 0 O Df = ( M M M) or equivalently Dƒ = (mmm) O Df = C for some constant C O Df = (0 0 0) There is not enough information to determine Df.

Suppose f: R³. → R is a differentiable function which has an absolute maximum value M # 0 and an absolute minimum m. Suppose further that m = M. What can be said about its derivative Dƒ? PD-(9) Df= 0 0 O Df = ( M M M) or equivalently Dƒ = (mmm) O Df = C for some constant C O Df = (0 0 0) There is not enough information to determine Df.

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.

Chapter5: Graphs And The Derivative

Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test

Problem 61E

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