2. 1. Find the derivatives of the functions sin x, cos x, tan x, sec x, cot x and cosec x. 2. Find the derivatives of the functions sin u, cos u, tan u, sec u, cot u and cosec u. 3. Use the derivatives of Learning Outcomes :

3. REMEMBER

6. Differentiation of Trigonometric Function

7. Note: The above differentiation of trigonometric functions are only true for angles which are measured in radians.

8. To prove when y=sinx, dy/dx=cos x, IMPORTANT!!!

9. Since f(x)=sinx

12. Differentiation of Trigonometric Function f(x) f(x)

13. 1.Differentiate using power rule 2.Differentiate trigonometric function 3.Differentiate f(x) Differentiation of Trigonometric Function:

14. Example 1 :

15. Solution:

16. Example 2 : Find the derivatives of : a) sin ( ln x )

17. Solution:

20. Differentiate each of the following functions with respect to x. Example 3 :

21. Solution:

25. 1.Differentiate using power rule 2.Differentiate trigonometric function 3.Differentiate f(x) Differentiation of Trigonometric Function: