1. 7.2The Natural Logarithmic and Exponential Function Math 6B Calculus II

2. The Natural Logarithmic Function

3. The Derivative of y = ln x

4. Properties of Natural Logarithms Product Rule Quotient Rule Power Rule Domain and Range

5. Limits of Natural Logarithms

6. The Integrals of 1/x, tan x,and cot x

7. Logarithmic Differentiation How to Differentiate y = f (x) > 0 by Logarithmic Differentiation Take the log of both sides of the equation Differentiate both sides d/dx (ln y) = 1/y *dy/dx Solve for dy/dx Substitute y = f (x)

8. Laws of Exponents

9. The Natural Exponential Function

10. Properties of the Natural Exponential Function

11. Differentiation of e x

12. Integration