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Derivatives of

Derivatives of. Unit 3: Advanced Derivatives and Applications. Derivative of. In other words, keep the exponent the same and multiply by the derivative of the exponent. This is a process called differentiation by substitution . (though it may not be necessary for all problems)

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Derivatives of

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  1. Derivatives of Unit 3: Advanced Derivatives and Applications

  2. Derivative of In other words, keep the exponent the same and multiply by the derivative of the exponent. This is a process called differentiation by substitution. (though it may not be necessary for all problems) Remember: is a constant

  3. EX1: Find of

  4. EX2: Find if

  5. Derivatives of Different Bases: Exponential functions of a different base are always given the restrictions “for and ”. Negative values of are effected by an even or odd exponent. If , then

  6. EX3: Determine if

  7. EX4: At what point on does the tangent line have slope 21? Divide by Take the natural log of both sides Plug into original function to find

  8. Derivatives of and For and ,

  9. EX5: find if

  10. EX6: find if

  11. Homework Page 348 #39-44, 47, 59 Page 357 #41-44, 49-51 Page 322 #47-50, 73, 74 Complete AP Calculus Practice Problems Quiz Friday (A) Quiz Tuesday (F)

  12. Page 348 39. 40. 41.

  13. 42. 43. 44.

  14. 47.

  15. 59.

  16. Page 357 41. 42.

  17. 43. 44.

  18. 49.

  19. 50.

  20. 51.

  21. Page 322 47.

  22. 48.

  23. 49.

  24. 50.

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