1. Warm Up Determine the average rate of change of
over the interval [1, 9].
2) Determine the instantaneous rate of change of at x = 9.
3) Write an equation of the tangent line to the curve at the point where x = 2.

2. Some Trig Derivatives & The Product and Quotient Rules for Differentiation

3. What is the derivative of y = sin (x) ?

4. What is the derivative of y = cos (x) ?

5. Write an equation of the tangent to the curve
y = 4cos(x) at the point where x = π/6

8. Evaluate the derivative of the function at the indicated point.

9. Derivative of the second
Product Rule…
Derivative of the first
Leave the first alone
Derivative of the second
Leave the second alone

10. Examples… Find the derivative, f ’(x)

11. Examples… Find the derivative, f ’(x)

12. Examples… Find the derivative, f ’(x)

13. Examples… Find the derivative, f ’(x)

14. Examples… Find

15. The Quotient Rule
“low d high minus high d low over low low”

16. Examples: Find the derivative of each.

17. Examples: Find the derivative of each.

18. Examples… Find the derivative, f ’(x)

19. Use trig identities to determine the derivative of y = tan (x).
Use trig identities to determine the derivative of y = cot (x).

20. Determine the derivative of y = 3cot (4x)

21. Determine the derivative of

22. Determine the derivative of each of the following.
Mixed Practice
Determine the derivative of each of the following.