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

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

3. 3 Derivative of the Sine Generalized Rule Ex.

4. 4 Derivative of the Cosine Generalized Rule Ex.

5. 5 Derivative of the Tangent Generalized Rule Ex.

6. 6 Derivative of the Secant Generalized Rule Ex.

7. 7 Derivative of the Cosecant Generalized Rule Ex.

8. 8 Derivative of the Cotangent Generalized Rule Ex.

9. 9 Derivatives Ex.

10. 10 Derivatives Ex. Implicit differentiation

11. 11 Problem 53 on page 562 (similar to Section 9.2 Problem. 54) 53. CostThe 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. 12 Solution: Given: Find:How fast, in dollars per week, is the cost increasing each Oct. 1? That is,