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# Vertical tangent lines If a function f is continuous at a

ISBN: 9780321570567 2

## Solution for problem 62AE Chapter 3.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 62AE

Vertical tangent lines? If a function f is continuous at a and lim|f (x)| = ? , then x?a the curve y= f(x) has a vertical tangent line at a and the equation of the tangent line is x = a. If a is an endpoint of a domain, then the appropriate one-sided derivative (Exercises 59-60) is used. Use this definition to answer the following questions. The preceding definition of vertical tangent line includes four cases: x?am+f ?x) =± ? combined with lim f (xx?a±???(for example, one case is lim f ?x) =+ ?and lim f (x) =? ?). Make a rough sketch of a (continuous) x?a + x?a ? function that has a vertical tangent line at x = a in each of the four cases.

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SOLUTION If a function f is continuous at a and lim|fxa (x)| = , then the curve y= f(x) has a vertical tangent line at a and the equation of the tangent line is x = a STEP 1 We need to sketch a graph of a continuous function that has a vertical tangent line at x = a in each of the four cases. Since a vertical line has infinite slope, a function whose graph has a vertical tangent is not differentiable at the point of tangency....

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##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Vertical tangent lines? If a function f is continuous at a and lim|f (x)| = ? , then x?a the curve y= f(x) has a vertical tangent line at a and the equation of the tangent line is x = a. If a is an endpoint of a domain, then the appropriate one-sided derivative (Exercises 59-60) is used. Use this definition to answer the following questions. The preceding definition of vertical tangent line includes four cases: x?am+f ?x) =± ? combined with lim f (xx?a±???(for example, one case is lim f ?x) =+ ?and lim f (x) =? ?). Make a rough sketch of a (continuous) x?a + x?a ? function that has a vertical tangent line at x = a in each of the four cases.” is broken down into a number of easy to follow steps, and 127 words. This full solution covers the following key subjects: Tangent, line, vertical, lim, cases. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Since the solution to 62AE from 3.1 chapter was answered, more than 333 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 62AE from chapter: 3.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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