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Derivatives of Trigonometric Functions

Lecture 22. Derivatives of Trigonometric Functions. Q. Where did the formulas for the derivatives of sin x and cos x come from?. A1. Graphically :. Q. Where did the formulas for the derivatives of sin x and cos x come from?. A2. By the Definition of the Derivative :.

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Derivatives of Trigonometric Functions

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  1. Lecture 22 Derivatives of Trigonometric Functions Q. Where did the formulas for the derivatives of sinx and cosx come from? A1.Graphically:

  2. Q. Where did the formulas for the derivatives of sinx and cosx come from? A2.By the Definition of the Derivative:

  3. Derivative of the Sine Generalized Rule Ex.

  4. Derivative of the Cosine Generalized Rule Ex.

  5. Derivative of the Tangent Generalized Rule Ex.

  6. Derivative of the Secant Generalized Rule Ex.

  7. Derivative of the Cosecant Generalized Rule Ex.

  8. Derivative of the Cotangent Generalized Rule Ex.

  9. Derivatives Ex.

  10. Derivatives Ex. Implicit differentiation

  11. Problem 53 on page 562 (similar to Section 9.2 Problem. 54) 53.Cost The cost in dollars of Dig-In brand shovels is given by where t is time in years since January 1, 2002. How fast, in dollars per week, is the cost increasing each October 1?

  12. Given: Find: How fast, in dollars per week, is the cost increasing each Oct. 1? That is, Solution:

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