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Differentiating trig functions.

Differentiating trig functions. ET 2.3a. Product Rule. Quotient Rule. How am I going to remember all of these?. “P SST ” I know!. What are their co-functions? . EX 1: Find the derivative. Product Rule. THIS THAT. EX 2: Find the derivative. HIGH LOW. Quotient Rule.

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Differentiating trig functions.

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  1. Differentiating trig functions. ET 2.3a Product Rule Quotient Rule

  2. How am I going to remember all of these? “PSST” I know! What are their co-functions?

  3. EX 1: Find the derivative Product Rule THIS THAT

  4. EX 2: Find the derivative HIGH LOW Quotient Rule

  5. EX 3: Find the derivative REWRITE QUOTIENT RULE

  6. EX 4: Find the f’(x) Can you find y’ without using the quotient rule? Use the Constant Multiple Rule. Find f’(3)

  7. EX 5: Find y’. Rewrite to avoid using the quotient rule.

  8. 2.3 Assignments • Part A: 3, 11, 15, 21, 23, 27, 33, 45, 59, 69, 71, 73 • Part B: (2 days) 10, 54, 68, 77, 80, 81, 84, 87, 93, 95, 100, 101, 103, 105-113, 117, 118, 120

  9. ET 2.3b Area of a circle is Volume of a sphereis Volume of a cylinderis Find A’(r). Find V’(r). Find V’(r). Do you notice anything? Hint: It is so cool you can hardly believe your eyes? Circumference of a circle. Surface Area of a Cylinder Surface Area of a Sphere

  10. You could use the quotient rule and then some trig identities.

  11. You can use some trig identities to avoid the quotient rule.

  12. 2.3 Assignments • Part A: 3, 11, 15, 21, 23, 27, 33, 45, 59, 69, 71, 73, • Part: (2 days) 10, 54, 68, 77, 80, 81, 84, 87, 93, 95, 100, 101, 103, 105-113, 117, 118, 120

  13. ET 2.3c Use the quotient rule to prove HIGH LOW Pythagorean Idenity Reciprocal Functions

  14. Notation

  15. Velocity: Direction matters! Velocity = Speed? Driving a car: Experiencing differentiation first hand Your speed is the first derivative of your position. Stepping on the accelerator or break is a second derivative of your position. I want to do another problem something like #120

  16. 2.3 Assignments • Day1: 3, 11, 15, 21, 23, 27, 33, 45, 59, 69, 71, 73, • Day 2 & 3: 10, 54, 68, 77, 80, 81, 84, 87, 93, 95, 100, 101, 103, 105-113, 117, 118, 120 *Day 4: (Extra Practice) 5, 12, 16, 25, 51, 65, 96, 114

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