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Chapter 3: Q. 4 (page 247)

If f has a local minimum at x = 0 and a local maximum at x = 2, what can you say about f '(0) and f '(2)? Is there anything else you can say about f ' .

Short Answer

Expert verified

If f has local maximum atx=0and local minimum atx=2thenf0,f2must be equal to zero .

Step by step solution

01

Step 1. Given information .

Consider the given pointsx=0andx=2.

02

Step 2. Classify the statement .

To classify the given statement if a function f is continuous and differentiable at x=0,x=2and have local maximum and minimumthen the derivative of the function must be equal to zero that meanslocalid="1648465818396" f'0=0andf'2=0.

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