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=. (7x+2) 13 /13 (7x+2) 13 /13 + C (7x+2) 11 /13 + C (7x+2) 11 /11 + C. u = 2x-3 du/ dx = 2 du = 2 dx du/2 = dx. Power Rule. If u is any differentiable function and n is not -1, then. Let u = the bad stuff. Using the power rule u = 1 + z 2 .

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  1. = • (7x+2)13/13 • (7x+2)13/13 + C • (7x+2)11/13 + C • (7x+2)11/11 + C

  2. .

  3. . u = 2x-3 du/dx = 2 du = 2 dx du/2 = dx

  4. Power Rule • If u is any differentiable function and n is not -1, then

  5. Let u = the bad stuff • Using the power rule • u = 1 + z2. • du/dz = 2z or du = 2z dz • z dz = du/2

  6. Let u = the bad stuff • u = 1 + z2. • du/dz = 2z • z dz = du/2

  7. u = du/df = 7 or du = 7 df Anti Chain Rule

  8. . u = du/dx = du = 3x2dx x2dx = du/3

  9. sin(3x)dx u = • sin 3x • x • 3x • Cos 3x

  10. (2x-3)3dx u = • 2x-3 • 2x • 3x • 2

  11. (2x-3)3dx = • (2x-3)4/4 + c • (2x-3)4/6 + c • (2x-3)4/8 + c • 2(2x-3)4 + c

  12. x sec2(3x2)dx u = • sec 3x2 • 3x • 3x2 • x

  13. x sec2(3x2)dx • tan 3x2 + c • tan 3x2/ 3 + c • sec 3x2/ 3 + c • tan 3x2/ 6 + c

  14. = • 0.333333 • 0.1

  15. = • 0.2 • 0.1

  16. Copy g(x) If derivative is here Add one to exponent Divide by new exponent Anti Power Rule

  18. = • -10.0 • 0.1

  19. = • 0.5 • 0.1

  20. What is the derivative of tan(x)?

  21. What is the derivative of tan(x)?

  22. Copy sin(x) Derivative is here Add one to exponent Divide by new exponent Anti Power Rule

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