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Calculus / Thomas' Calculus: Early Transcendentals 13 / Chapter 3.5 / Problem 68E

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

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Theory and ExamplesSlopes on the graph of the cotangent

Chapter 3, Problem 68E

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QUESTION:

Problem 68E

Theory and Examples

Slopes on the graph of the cotangent function Graph y = cot x and its derivative together for Does the graph of the cotangent function appear to have a smallest slope? A largest slope? Is the slope ever positive? Give reasons for your answers.

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QUESTION:

Problem 68E

Theory and Examples

Slopes on the graph of the cotangent function Graph y = cot x and its derivative together for Does the graph of the cotangent function appear to have a smallest slope? A largest slope? Is the slope ever positive? Give reasons for your answers.

ANSWER:

Solution:

Step 1 of 3

In this problem, we have to draw the graph of the function, $y=cot\ x$ , and its derivative together on the interval $(0,\pi{})$ .

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