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Warm Up

Warm Up. Write an equation of the tangent line to the graph of y = 2sinx at the point where x = π /3. Homework Answers. The Product and Quotient Rules for Differentiation. Let’s start with the Product Rule …. Derivative of the first. Leave the first alone.

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Warm Up

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  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. The Product and Quotient Rules for Differentiation

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

  5. Examples…Find the derivative, f’(x)

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

  7. Examples…Find the derivative, f’(x)

  8. Examples…Find the derivative, f’(x)

  9. Examples…Find the derivative, y’

  10. The Quotient Rule “low d high minus high d low over low low”

  11. Examples…Find the derivative, f’(x)

  12. Examples…Find the derivative, P’(t)

  13. Examples…Find the derivative, dy/dx

  14. 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)

  15. 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)

  16. Examples…Find the derivative, f’(x)

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

  18. 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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