So far we have used only algebraic functions as examples when finding derivatives, that is, functions that can be built up by the usual algebraic operations of addition, subtraction, multiplication, division, and raising to constant powers. Both in theory and practice there are other functions, called transcendental, that are very useful. Most important among these are the trigonometric functions, the inverse trigonometric functions, exponential functions, and logarithms.

1. Trigonometric Functions

2. The Derivative of $\sin x$

3. A hard limit

4. The Derivative of $\sin x$, continued

5. Derivatives of the Trigonometric Functions

6. Exponential and Logarithmic functions

7. Derivatives of the exponential and
logarithmic functions

8. Implicit Differentiation

9. Inverse Trigonometric Functions

10. Limits revisited

11. Hyperbolic Functions