MATH 138 - Lecture 9 - Section 3.3

1. Derivatives of Trigonometric 3.3 Functions

2. 2
Radians
For Calculus  always use radians, not degrees.
Know the unit circle:

3. Derivatives of Trigonometric Functions
So we have proved the formula for the derivative of the sine
function:
3

4. 4
Example 1
Differentiate y = x2 sin x.
Solution:
Using the Product Rule and Formula 4, we have

5. 5
Derivative of sin(x) - Exercises

6. 6
Derivatives of cos x

7. 7
Derivative of cos(x) - Exercises

8. 8
Derivative of tan(x)

9. 9
Derivatives of tan(x)

10. 10
Derivatives of tan(x)

11. 11
Derivative of tan(x) - Exercises

12. Derivatives of Trigonometric Functions
12

13. 13
Derivative of Trig Fcts - Exercises