(a) Explanation Given information: The function f ( x ) = x 3 − 3 x 2 − 24 x − 10 . Formula used: The power of x rule. d ( x n ) d x = n x n − 1 Use formula for finding the slope of tangent to the graph. m = y − y 1 x − x 1 y − y = 1 m ( x − x 1 ) Calculation: Consider the function, f ( x ) = x 3 − 3 x 2 − 24 x − 10 Derivate the given function with respect to x f / ( x ) = 3 x 2 − 6 x − 24 = 3 ( x − 4 ) ( x + 2 ) Substitute x = − 1 in f / ( x ) (b) To determine To calculate: The points (both in x and y coordinate) where f / ( x ) = 0

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 9, Problem 15T

(a)

To determine

To Calculate: The equation of line tangent to the graph of $y=f(x)$ at $x=−1$ using the function $f(x)=x3−3x2−24x−10$ .

(b)

To determine

To calculate: The points (both in x and y coordinate) where $f/(x)=0$

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Chapter 9, Problem 14T

Chapter 9, Problem 16T

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Chapter 9 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 9.1 - 1. Can exist if is undefined? Ch. 9.1 - 2. Does exist if ? Ch. 9.1 - 3. Does Ch. 9.1 - 4. If , does exist? Ch. 9.1 - 5. Let (a) Does (b) Find . Ch. 9.1 - 6. Evaluate the following limits (if they...Ch. 9.1 - Prob. 7CP Ch. 9.1 - Prob. 8CP Ch. 9.1 - Prob. 9CP Ch. 9.1 - Prob. 10CP

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The equation of line tangent to the graph of y = f ( x ) at x = − 1 using the function f ( x ) = x 3 − 3 x 2 − 24 x − 10 .

Solution Summary: The author explains how to calculate the equation of line tangent to the graph of y=f(x).

Videos

To Calculate: The equation of line tangent to the graph of $y=f(x)$ at $x=−1$ using the function $f(x)=x3−3x2−24x−10$ .

To calculate: The points (both in x and y coordinate) where $f/(x)=0$

Want to see the full answer?

Chapter 9 Solutions

The equation of line tangent to the graph of y = f ( x ) at x = − 1 using the function f ( x ) = x 3 − 3 x 2 − 24 x − 10 .

Solution Summary: The author explains how to calculate the equation of line tangent to the graph of y=f(x).

Videos

To calculate: The points (both in x and y coordinate) where f/(x)=0<m:math><m:mrow><m:msup><m:mi>f</m:mi><m:mo>/</m:mo></m:msup><m:mrow><m:mo>(</m:mo><m:mi>x</m:mi><m:mo>)</m:mo></m:mrow><m:mo>=</m:mo><m:mn>0</m:mn></m:mrow></m:math>

Want to see the full answer?

Chapter 9 Solutions

To calculate: The points (both in x and y coordinate) where $f/(x)=0$