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Warm Up Write an equation of the tangent line to the graph of y = 2sinx at the point where x = π/3.

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Presentation on theme: "Warm Up Write an equation of the tangent line to the graph of y = 2sinx at the point where x = π/3."— Presentation transcript:

1 Warm Up Write an equation of the tangent line to the graph of y = 2sinx at the point where x = π/3.

2 Homework Answers

3

4 The Product and Quotient Rules for Differentiation

5 Let’s start with the Product Rule… Leave the first alone Derivative of the second Derivative of the first Leave the second alone

6 Examples… Find the derivative, f’(x)

7

8

9

10 Examples… Find the derivative, y’

11 The Quotient Rule “low d high minus high d low over low low”

12 Examples… Find the derivative, f’(x)

13 Examples… Find the derivative, P’(t)

14 Examples… Find the derivative, dy/dx

15 Use the quotient rule to derive the formula for the derivative of y = tan(x) Use the quotient rule to derive the formula for the derivative of y = cot(x)

16 Use the quotient rule to derive the formula for the derivative of y = csc(x) Use the quotient rule to derive the formula for the derivative of y = sec(x)

17 Examples… Find the derivative, f’(x)

18

19

20 QUIZ MONDAY Homework worksheet (pg 124 – 125) #s 5, 6, 8, 15, 25, 35, 39, 43, 45, 50, 53, 62, 63, 66, 67

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