Prove and show complete solution:Let f be defined on an open interval (a, b) and assume that f has a local maximum ora local minimum at an interior point c of (a,b). If ƒ has a derivative (finite or infinite)at c, then f'(c) must be 0.

Answered: Image /qna-images/answer/8d07f835-63fc-432a-8bf2-fc5ee870f69d.jpg

Prove and show complete solution: Let ƒ be defined on an open interval (a, b) and assume that ƒ has a local maximum or a local minimum at an interior point e of (a, b). If ƒ has a derivative (finite or infinite) at c, then f'(c) must be 0.

Prove and show complete solution: Let ƒ be defined on an open interval (a, b) and assume that ƒ has a local maximum or a local minimum at an interior point e of (a, b). If ƒ has a derivative (finite or infinite) at c, then f'(c) must be 0.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 51E

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Question

Prove and show complete solution:
Let f be defined on an open interval (a, b) and assume that f has a local maximum or
a local minimum at an interior point c of (a,b). If ƒ has a derivative (finite or infinite)
at c, then f'(c) must be 0.

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