Explanation Given: We know the slope of the tangent line to the function y = f ( x ) at the point c is: lim ...

Precalculus (10th Edition)

10th Edition

ISBN: 9780321979070

Author: Michael Sullivan

Publisher: PEARSON

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Chapter 14.4, Problem 3AYU

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To fill: If $lim_{x \to c} \frac{f (x) - f (c)}{x - c}$ exists, it equals the slope of the _ _ to the graph of $f$ at the point $(c, f (c))$ .

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Chapter 14.4, Problem 2AYU

Chapter 14.4, Problem 4AYU

Chapter 14 Solutions

Precalculus (10th Edition)

Ch. 14.1 - Graph f( x )={ 3x2ifx2 3ifx=2 (pp.100-102)Ch. 14.1 - Prob. 2AYU Ch. 14.1 - Prob. 3AYU Ch. 14.1 - Prob. 4AYU Ch. 14.1 - True or False lim xc f( x )=N may be described by...Ch. 14.1 - Prob. 6AYU Ch. 14.1 - lim x2 ( 4 x 3 )Ch. 14.1 - lim x3 ( 2 x 2 +1 )Ch. 14.1 - Prob. 9AYU Ch. 14.1 - Prob. 10AYU

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If lim x → c f ( x ) − f ( c ) x − c exists, it equals the slope of the _ _ to the graph of f at the point ( c , f ( c ) ) .

Solution Summary: The author explains that the slope of the tangent line to the function y = f (x) at the point c is: lim x

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To fill: If $lim_{x \to c} \frac{f (x) - f (c)}{x - c}$ exists, it equals the slope of the _ _ to the graph of $f$ at the point $(c, f (c))$ .

Want to see the full answer?

Chapter 14 Solutions

Additional Math Textbook Solutions

If lim x → c f ( x ) − f ( c ) x − c exists, it equals the slope of the _____ _____ to the graph of f at the point ( c , f ( c ) ) .

Solution Summary: The author explains that the slope of the tangent line to the function y = f (x) at the point c is: lim x

Concept explainers

Videos

To fill: If lim x→c f( x ) − f( c ) x − c exists, it equals the slope of the _____ _____ to the graph of f at the point ( c, f( c ) ) .

Want to see the full answer?

Chapter 14 Solutions

Additional Math Textbook Solutions

If lim x → c f ( x ) − f ( c ) x − c exists, it equals the slope of the _ _ to the graph of f at the point ( c , f ( c ) ) .

To fill: If $lim_{x \to c} \frac{f (x) - f (c)}{x - c}$ exists, it equals the slope of the _ _ to the graph of $f$ at the point $(c, f (c))$ .