Presentation is loading. Please wait.

Presentation is loading. Please wait.

Lesson: Derivative Techniques 2

Similar presentations


Presentation on theme: "Lesson: Derivative Techniques 2"— Presentation transcript:

1 Lesson: Derivative Techniques 2
Obj - Derivatives of Trig Functions

2 Trig Essentials SOHCAHTOA

3 Now, let’s examine the trig function graphs

4

5

6

7

8 Practice!

9 Other trig values

10

11 Basic Trig Identities

12 Trig Derivative Equations:
1. 2.

13 Proof that First, a couple of common limits you should know: And who could forget our friend, the difference quotient:

14

15

16 Proof that First, a couple of common limits you should know: And who could forget our friend, the difference quotient:

17

18

19 What about Tangent, Cotangent, Secant, and Cosecant?
Let’s derive them! Use quotient rule:

20

21 Therefore,

22 Now try:

23 So, 2. 4.

24 O.K., How do I remember all that?
Look at the cofunctions The derivative of any cofunction can be obtained from the derivative of the corresponding function by taking the negation and replacing each function in the derivative with its cofunction.

25 EX. 1: Find dy/dx if

26 EX. 2: Find dy/dx if

27 EX.3 : Find

28 EX. 4: Find


Download ppt "Lesson: Derivative Techniques 2"

Similar presentations


Ads by Google