Explanation Given Information: The provided graph is: Stationary points lie within the domain, where the derivative is zero and they can be determined by evaluating f ' ( x ) = 0 and find the value of x . Singular points also lie within the domain, where the derivative is not defined and they can be determined by finding the points at f ' ( x ) = undefined . Conditions to find Extremes: Let a continuous function f having c as a critical point, then find the derivative at left and right side of x = c . 1. If f ' ( x ) is positive to the left of x = c and negative to the right, then f has a maximum at x = c . 2. If f ' ( x ) is negative to the left of x = c and positive to the right, then f has a minimum at x = c . 3. The f can neither be maximum nor minimum, if there occurs same sign on both sides of, x = c of f ' ( x ) . Consider the provided graph: It can be deduced from the above graph that f ' ( x ) = 0 at x = 1 thus from the above definition stationary points is at x = 1 , Now, at left of x = 1 , the f ' ( x ) is positive so the graph of f is increasing and at the right of x = 1 the f ' ( x ) is negative, so the graph of f decreasing

Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

7th Edition

ISBN: 9781337275972

Author: Waner, Stefan; Costenoble, Steven

Publisher: Cengage Learning

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Chapter 12.1, Problem 54E

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Whether the function is classified as relative maximum, relative minimum or neither and also finds the x− coordinates of the all stationary and singular points of function f given below,

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Chapter 12.1, Problem 53E

Chapter 12.1, Problem 55E

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Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

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Whether the function is classified as relative maximum , relative minimum or neither and also finds the x − coordinates of the all stationary and singular points of function f given below,

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Whether the function is classified as relative maximum, relative minimum or neither and also finds the x− coordinates of the all stationary and singular points of function f given below,

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Chapter 12 Solutions