1. Differentiating Trigonometric, Logarithmic, and Exponential Functions
Calculus Topics
Differentiating Trigonometric, Logarithmic, and Exponential Functions

2. Derivatives you absolutely must know:
Derivatives that you probably should memorize:
Also, know that sin2x + cos2x = 1
Ex: Find the derivative of f(x)=x3-sinx.

3. Derivatives you absolutely must know:
Ex: Find the derivative of f(x)=3lnx-6ex.
Ex: Find the derivative of f(x)=3xlnx.
Product Rule…

4. Ex: Find the derivative of the following:

5. Ex: Find the derivative of the following:

6. Ex: Find the derivative of the following:

7. Ex: Find the equation of a line tangent to f(x) at x=π/4.
We need f(x) at x=π/4…
Now write the tangent line equation…

8. To find a second derivative, find the derivative of the derivative!
Ex: Find the second derivatives of the following functions.