Calculus I

1
Calculus I

• Section 3.4
• Derivatives of the Trigonometric Functions

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Homework

• Read Section 3.4
• Problems 7-41 odd, 47, 55, 57, 69, 75

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Review
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Review

• Given both f and g are differentiable

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The Trigonometric Functions
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The Derivative of Sine

• To investigate the derivative of the Sine
  function well put to use the numerical
  derivative.
• What does the derivative of Sine appear to be?
• Try it again for Cosine. What does its
  derivative appear to be?

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Now Use the Definition
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Now Use the Definition

• Find the derivative of Sine using the definition
  of the derivative.
• Notice we need to show

and
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Geometric Proof Page 212
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What about Tangent?

• Using the quotient rule, find the derivative of
  Tangent.
• Verify your work with the graph.

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Derivatives of the Trigonometric Functions
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Verify the Following
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Examples Please!

• Page 216 4, 8, 12, 22