At this point you may want to try taking the derivative of the six Trig. Functions. Just about every book has this list and suggests that you memorize it. Guess What! No more, you have a tool now that, not only has these tucked away in its innards, it has all those Trig. Identities too.
All of these derivatives above are obtained by using Identities, Algebra, the Pythagorean Theorem, along with the fact that the derivative of the sine function is the cosine function. If your curiosity is getting the best of you, click here to see how you can derive them.
In the last section, you learned how to use the Chain Rule, and at the end of the section ,you used it to find the derivative of sin (x^3). You will find that you will use the Chain Rule often when finding derivatives of trig. functions. Below is a graphic showing all of these functions and their formulas.
Take a look a an example.
Example
3.13 The Chain Rule and Trigonometric Functions
Below is a flowchart showing you what the computer did to solve this derivative.
The next section introduces the last differentiation tool, allowing you to put this incredible concept called differentiation to work solving real world problems.
