(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

WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term

12th Edition

ISBN: 9781337630542

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

See similar textbooks

Videos

Question

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

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9, Problem 14T

Chapter 9, Problem 16T

Students have asked these similar questions

3. [15] The joint PDF of RVS X and Y is given by fx.x(x,y) = { x) = { c(x + { c(x+y³), 0, 0≤x≤ 1,0≤ y ≤1 otherwise where c is a constant. (a) Find the value of c. (b) Find P(0 ≤ X ≤,

The analysis of results from a leaf transmutation experiment (turning a leaf into a petal) is summarized by the type of transformation completed: A naturalist randomly selects three leaves from this set without replacement. Total Textural Transformation Yes No Total Yes 243 26 269 Total Color Transformation No 13 18 31 Total 256 44 300 Let X represent the number of leaves that have undergone both transformations. The appropriate probability distribution of X is a distribution. The parameters are population size N = size n = number of events K = and sample The probability that at least one leaf has undergone both transformations is probability to four decimal places.) X has a N = K= n = The requested probability is distribution. (Round the

The life time of a certain battery is modeled with the Weibull distribution with shape parameter ẞ=2 and scale parameter 8-10 hours. Determine the mean time until failure of batteries. (Round the answer to one decimal place.) hours

Chapter 9 Solutions

WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term

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

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

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