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Mastering Derivative Rules: Product, Quotient, and Higher-Order Derivatives

Learn the basic rules for derivatives, including Product and Quotient rules. Explore higher-order derivatives and trigonometric derivatives. Practice exercises for a solid understanding.

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Mastering Derivative Rules: Product, Quotient, and Higher-Order Derivatives

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  1. Product & Quotient RulesHigher Order Derivatives Lesson 3.3

  2. Basic Rules • Product Rule How would you put this rule into words?

  3. Try Some More • Use additional rules to determine the derivatives of the following function

  4. Basic Rule • Quotient Rule How would you put this rule into words?

  5. A Memory Trick • Given • Then

  6. Just Checking . . . • Find the derivatives of the given functions

  7. Other Trig Derivatives • Now try it out

  8. Higher-Order Derivatives • Note that f ‘(x) is, itself a function • Possible to take the derivative of f ‘(x) • This is called the second derivative • Also possible to take higher derivatives • Note TI capabilities

  9. Find Those High Orders • Find the requested derivatives

  10. Assignment • Lesson 3.3A • Page 147 • Exercises 1 – 77 EOO (Every Other Odd) Quiz next class • Lesson 3.3B • Page 148 • Exercises 81 – 105 Odd

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