Assume thatf is differentiable in (-oo, x) and af'(r)N 0 for allrE (-00, 00). Prove that f has the absolute minimum at x 0.

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Assume thatf is differentiable in (-oo, x) and af'(r)N 0 for all a E (-00, 00). Prove that f has the absolute minimum at x 0.

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.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 1CR

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Assume thatf is differentiable in (-oo, x) and af'(r)N 0 for all
rE (-00, 00). Prove that f has the absolute minimum at x 0.

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