The derivative of the function.
![Check Mark](/static/check-mark.png)
Answer to Problem 24E
The derivative of the function is
Explanation of Solution
Given information:
The function is
And the options are (a)
Concept used:
If the function is decreasing from left to right then the value of derivative should be in negative
Calculation:
Graph of the function
The function is first decreasing then increasing so the derivative should have negative value first then positive value.
But in this case the function has positive value first then negative value from left to right.
So it cannot be derivative of the function.
Graph of the function
The function is first decreasing then increasing so the derivative should have negative value first then positive value.
In this case the function has negative value first then positive value from left to right.
So it is derivative of the function.
Graph of the function
The function is first decreasing then increasing so the derivative should have negative value first then positive value.
But in this case the function has positive value first then negative value from left to right.
So it cannot be derivative of the function.
Graph of the function
The function is first decreasing then increasing so the derivative should have negative value first then positive value.
In this case the function has negative value first then positive value from left to right also the tangent is at
So it cannot be derivative of the function.
Graph of the function
The function is first decreasing then increasing so the derivative should have negative value first then positive value.
In this case the function has negative value first then positive value from left to right also it has a straight line.
So it cannot be derivative of the function.
Conclusion: So the only function having its derivative is
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
- 3) If a is a positive number, what is the value of the following double integral? 2a Love Lv 2ay-y² .x2 + y2 dadyarrow_forward16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d) log x + log(x - 21) = 2 (e) 3 = 14 (f) 2x+1 = 51-2xarrow_forward11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_forward
- practice problem please help!arrow_forward13. A restaurant will serve a banquet at a cost of $20 per person for the first 50 people and $15 for person for each additional person. (a) Find a function C giving the cost of the banquet depending on the number of people p attending. (b) How many people can attend the banquet for $2000?arrow_forwardAlt Fn Ctrl 12. Find functions f and g such that h(x) = (fog)(x). (a) h(x) = (x² + 2)² x+1 (b) h(x) = 5 3arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)