Solved: Suppose the derivative of the function y = ƒ(x) is

Chapter 4, Problem 112E

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QUESTION:

Suppose the derivative of the function \(y=f(x)\) is

                           \(y^{\prime}=(x-1)^{2}(x-2)(x-4)\).

At what points, if any, does the graph of \(f\) have a local minimum, local maximum, or point of inflection?

Equation Transcription:

Text Transcription:

y=f(x)

y'=(x-1)^2(x-2)(x-4)

f

Questions & Answers

QUESTION:

Suppose the derivative of the function \(y=f(x)\) is

                           \(y^{\prime}=(x-1)^{2}(x-2)(x-4)\).

At what points, if any, does the graph of \(f\) have a local minimum, local maximum, or point of inflection?

Equation Transcription:

Text Transcription:

y=f(x)

y'=(x-1)^2(x-2)(x-4)

f

ANSWER:

Solution:-

Step 1 of 4

Given that

We have to find at what points, if any, does the graph of ƒ have a local minimum, local maximum, or point of inflection?

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