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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Question
1,3,7
![**PROBLEMS 11.2**
In Problems 1-74, differentiate the functions.
1. \( f(x) = \pi \)
2. \( f(x) = \left( \frac{6}{7} \right)^{2/3} \)
3. \( y = x^6 \)
4. \( f(x) = x^{21} \)
5. \( y = x^{80} \)
6. \( y = x^{2.1} \)
7. \( f(x) = 9x^2 \)
8. \( y = 4x^3 \)
9. \( g(w) = 8w^7 \)
10. \( v(x) = xe \)
11. \( y = \frac{3}{5} x^6 \)
12. \( f(p) = \sqrt[3]{p^4} \)
13. \( f(t) = \frac{t^7}{25} \)
14. \( y = \frac{x^7}{7} \)
15. \( f(x) = x + 3 \)
16. \( f(x) = 5x - e \)
17. \( f(x) = 4x^2 - 2x + 3 \)
18. \( F(x) = 5x^2 - 9x \)
19. \( g(p) = p^4 - 3p^3 - 1 \)
20. \( f(t) = -13t^2 + 14t + 1 \)
21. \( y = x^4 - \sqrt{x} \)
22. \( y = -8x^4 + \ln 2 \)
23. \( y = -13x^3 + 14x^2 - 2x + 3 \)
24. \( V(r) = r^8 - 7r^6 + 3r^2 + 1 \)
25. \( f(x) = 2(13 - x^4) \)
26. \( \psi(t) = e(t^7 - 5^3) \)
27. \( g(x) = \frac{13 - x^4}{3} \)
28. \( f(x) = \frac{5(x^4 - 6)}{2} \)
29. \( h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e2d6f28-e3d7-414c-b1d4-a752131175c2%2Ffe09bafa-29c1-41ec-8a57-ecf81c5abe22%2Fk21nw63mc.jpeg&w=3840&q=75)
Transcribed Image Text:**PROBLEMS 11.2**
In Problems 1-74, differentiate the functions.
1. \( f(x) = \pi \)
2. \( f(x) = \left( \frac{6}{7} \right)^{2/3} \)
3. \( y = x^6 \)
4. \( f(x) = x^{21} \)
5. \( y = x^{80} \)
6. \( y = x^{2.1} \)
7. \( f(x) = 9x^2 \)
8. \( y = 4x^3 \)
9. \( g(w) = 8w^7 \)
10. \( v(x) = xe \)
11. \( y = \frac{3}{5} x^6 \)
12. \( f(p) = \sqrt[3]{p^4} \)
13. \( f(t) = \frac{t^7}{25} \)
14. \( y = \frac{x^7}{7} \)
15. \( f(x) = x + 3 \)
16. \( f(x) = 5x - e \)
17. \( f(x) = 4x^2 - 2x + 3 \)
18. \( F(x) = 5x^2 - 9x \)
19. \( g(p) = p^4 - 3p^3 - 1 \)
20. \( f(t) = -13t^2 + 14t + 1 \)
21. \( y = x^4 - \sqrt{x} \)
22. \( y = -8x^4 + \ln 2 \)
23. \( y = -13x^3 + 14x^2 - 2x + 3 \)
24. \( V(r) = r^8 - 7r^6 + 3r^2 + 1 \)
25. \( f(x) = 2(13 - x^4) \)
26. \( \psi(t) = e(t^7 - 5^3) \)
27. \( g(x) = \frac{13 - x^4}{3} \)
28. \( f(x) = \frac{5(x^4 - 6)}{2} \)
29. \( h
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