41. What is the derivative of f(x) = secx + 3 csc x? A. f¹(x) = sec xtanx + 3cscx cotx 3cscx tanx C. f'(x) = secxcotx - D. f'(x) = sec xcotx + 3cscx tanx B. f'(x) = sec xtanx - 3cscx cotx 42. What is the critical point of f(x) = 3x² − 3x + 4? A. c. 12/12 3 B. D. 3 10 43. What is the minimum point of f(x) = x³ − 12x + 3 ? A. (-2,-13) C. (-2,13) B. (2,13) D. (2,-13) 44. What is the fourth derivative of the function f(x) = x5 − 3x² + 2x³ − x² + 4x − 10? A. f(4)(x) = 120x 72 c. f(4)(x) = 60x - 72 B. f(4)(x) = 60x² - 72x D. f(4)(x) = 120x² - 72x dy 45. Find for y³ + 4y² + 3x²y + 10 = 0 dx 6xy 6xy C. 3y²-8y-3x² 3y² +8y+3x² -6xy -6xy D. 3y² +8y+3x² 3y²-8y+3x² A. B.
41. What is the derivative of f(x) = secx + 3 csc x? A. f¹(x) = sec xtanx + 3cscx cotx 3cscx tanx C. f'(x) = secxcotx - D. f'(x) = sec xcotx + 3cscx tanx B. f'(x) = sec xtanx - 3cscx cotx 42. What is the critical point of f(x) = 3x² − 3x + 4? A. c. 12/12 3 B. D. 3 10 43. What is the minimum point of f(x) = x³ − 12x + 3 ? A. (-2,-13) C. (-2,13) B. (2,13) D. (2,-13) 44. What is the fourth derivative of the function f(x) = x5 − 3x² + 2x³ − x² + 4x − 10? A. f(4)(x) = 120x 72 c. f(4)(x) = 60x - 72 B. f(4)(x) = 60x² - 72x D. f(4)(x) = 120x² - 72x dy 45. Find for y³ + 4y² + 3x²y + 10 = 0 dx 6xy 6xy C. 3y²-8y-3x² 3y² +8y+3x² -6xy -6xy D. 3y² +8y+3x² 3y²-8y+3x² A. B.
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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Transcribed Image Text:41. What is the derivative of f(x) = sec x + 3 csc x?
A. f'(x) = sec xtanx + 3cscx cotx
C. f'(x) = sec xcotx 3cscx tanx
D. f'(x) = sec xcotx + 3cscx tanx
B. f¹(x) = sec xtanx – 3cscx cotx
42. What is the critical point of f(x) = 3x² − 3x + 4?
A.
C. 31/12
3
B.
D. —==-
3
10
43. What is the minimum point of fƒ(x) = x³ − 12x + 3 ?
A. (-2,-13)
C. (-2,13)
B. (2,13)
D. (2, -13)
44. What is the fourth derivative of the function f(x) = x5 − 3x² + 2x³ − x² + 4x − 10?
A. f(4)(x) = 120x - 72
c. f(4)(x) = 60x - 72
B. f(4)(x) = 60x² – 72x
D. f(4)(x) = 120x² – 72x
dy
45. Find
for y³ + 4y² + 3x²y + 10 = 0
dx
6xy
6xy
C.
3y²-8y-3x²
3y² +8y+3x²
-6xy
-6xy
D.
3y² +8y+3x²
3y²-8y+3x²
A.
B.
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