Write true if the statement is correct and false if the statement is incorrect. Write your answer on a separate sheet of рaper. 11. Given the function y = V3x + 2, the derivative of this function is %3D 3 (3x+2)1/2 ·

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Match Column A with Column B, where A is the collection of functions and B is the
collection of derivatives. Write the letter of the correct answer on a separate sheet of
paper. (Use calculator whenever necessary).
Column A
Column B
6. y = (x2 - 5x - 2)2
1
A.
2(x+8)1/2
B. 12x2 - 32x + 16
7. y = sin(2x - 5)
8. y = Vx + 8
9. y = 4x(x- 2)²
10. y = cos (5x2 - 3)
C. -10x sin(5x2 - 3)
D. 2cos(2x – 5)
E. (4x – 10)(x² - 5x – 2)
Transcribed Image Text:Match Column A with Column B, where A is the collection of functions and B is the collection of derivatives. Write the letter of the correct answer on a separate sheet of paper. (Use calculator whenever necessary). Column A Column B 6. y = (x2 - 5x - 2)2 1 A. 2(x+8)1/2 B. 12x2 - 32x + 16 7. y = sin(2x - 5) 8. y = Vx + 8 9. y = 4x(x- 2)² 10. y = cos (5x2 - 3) C. -10x sin(5x2 - 3) D. 2cos(2x – 5) E. (4x – 10)(x² - 5x – 2)
Write true if the statement is correct and false if the statement is incorrect. Write
your answer on a separate sheet of
рaper.
11. Given the function y = V3x + 2, the derivative of this function is
3.
(3x+2)1/2
12. If y = tan(4x + 1), then its derivative is y' = 4sec2 (4x + 1).
13. When y = (2x- 3)1/3, the derivative of this function is y'=
%3D
(2x-3)2/3
14. For instance, the given function is y 2sec (3x), then its derivative is
y' = 6 sec(3x) tan (3x).
15. The derivative of the function y = v6x + 1 is y'3=
3
SHOT ON itel
(6x+1)1/2
Transcribed Image Text:Write true if the statement is correct and false if the statement is incorrect. Write your answer on a separate sheet of рaper. 11. Given the function y = V3x + 2, the derivative of this function is 3. (3x+2)1/2 12. If y = tan(4x + 1), then its derivative is y' = 4sec2 (4x + 1). 13. When y = (2x- 3)1/3, the derivative of this function is y'= %3D (2x-3)2/3 14. For instance, the given function is y 2sec (3x), then its derivative is y' = 6 sec(3x) tan (3x). 15. The derivative of the function y = v6x + 1 is y'3= 3 SHOT ON itel (6x+1)1/2
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