Explanation Given: The function is y = f ( x ) . At the point x = c , y = f ( c ) . The slope of the tangent line of a function y = f ( x ) at the point x = c is given by; m = lim x → c f ( x ) − f ( c ) x − c ...

11th Edition

ISBN: 9780135189405

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 14.4, Problem 7AYU

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The slope of the tangent line to a function $f$ at $(c, f (c))$ is the derivative of $f$ at $c$ .

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Chapter 14.4, Problem 6AYU

Chapter 14.4, Problem 8AYU

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Chapter 14 Solutions

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Check whether the statement is true or false: The slope of the tangent line to a function f at ( c , f ( c ) ) is the derivative of f at c .

Solution Summary: The author explains that the slope of the tangent line to a function is the derivative of f at c.

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Check whether the statement is true or false:

The slope of the tangent line to a function $f$ at $(c, f (c))$ is the derivative of $f$ at $c$ .

Want to see the full answer?

Chapter 14 Solutions

Additional Math Textbook Solutions

Check whether the statement is true or false: The slope of the tangent line to a function f at ( c , f ( c ) ) is the derivative of f at c .

Solution Summary: The author explains that the slope of the tangent line to a function is the derivative of f at c.

Concept explainers

Videos

Check whether the statement is true or false: The slope of the tangent line to a function f at ( c, f( c ) ) is the derivative of f at c .

Want to see the full answer?

Chapter 14 Solutions

Additional Math Textbook Solutions

Check whether the statement is true or false:

The slope of the tangent line to a function $f$ at $(c, f (c))$ is the derivative of $f$ at $c$ .