Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative of the function. 6. y (3x - 4)(x3 +5) 8. g(s) s(s2 + 8) 10. g(x)= x sin x 2x- 3)(1 - 5x) 5. g(४) = 7. ht) - P) 9. f(x)= x cosx Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the function. 3r2 1 12. g(t)2t +5 11. f(x)x5 x- 5 14. f(x) 2x+ 1 13. hx)3 1 15. glx)Sinx 15. g(४) = x2 COs t 16. f(t) t3s Finding and Evaluating a Derivative In Exercises 17-22, find f'(x) and f'(c). Function Value of c 17. f(x) (3 4x) (3x2 2x-5) 18. f(x) = (22- 3x) (9x + 4) c 0 w c -1 19. f(x)2-4 x - 3 se c = 1 20. f(x) 4 c 3 x + 4
Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative of the function. 6. y (3x - 4)(x3 +5) 8. g(s) s(s2 + 8) 10. g(x)= x sin x 2x- 3)(1 - 5x) 5. g(४) = 7. ht) - P) 9. f(x)= x cosx Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the function. 3r2 1 12. g(t)2t +5 11. f(x)x5 x- 5 14. f(x) 2x+ 1 13. hx)3 1 15. glx)Sinx 15. g(४) = x2 COs t 16. f(t) t3s Finding and Evaluating a Derivative In Exercises 17-22, find f'(x) and f'(c). Function Value of c 17. f(x) (3 4x) (3x2 2x-5) 18. f(x) = (22- 3x) (9x + 4) c 0 w c -1 19. f(x)2-4 x - 3 se c = 1 20. f(x) 4 c 3 x + 4
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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Transcribed Image Text:Using the Product Rule In Exercises 5-10,
use the Product Rule to find the derivative of the
function.
6. y (3x - 4)(x3 +5)
8. g(s) s(s2 + 8)
10. g(x)= x sin x
2x- 3)(1 - 5x)
5. g(४) =
7. ht)
- P)
9. f(x)= x cosx
Using the Quotient Rule In Exercises 11-16,
use the Quotient Rule to find the derivative of the
function.
3r2 1
12. g(t)2t +5
11. f(x)x5
x- 5
14. f(x) 2x+ 1
13. hx)3 1
15. glx)Sinx
15. g(४) =
x2
COs t
16. f(t)
t3s
Finding and Evaluating a Derivative In
Exercises 17-22, find f'(x) and f'(c).
Function
Value of c
17. f(x) (3 4x) (3x2 2x-5)
18. f(x) = (22- 3x) (9x + 4)
c 0
w
c -1
19. f(x)2-4
x - 3
se
c = 1
20. f(x)
4
c 3
x + 4
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