1. (8.2) - The Derivative of the Natural Logarithmic Function
MCV4U1
(8.2) - The Derivative of the Natural Logarithmic Function
The inverse of the exponential function y = ex
Switch x for y
Solve for y
using Logarithms
This Logarithmic function is called the Natural Log Function
Pronounced "Lon x"

2. Find the derivative of y = lnx
Rewrite
Implicit
Differentiation
Solve for dy dx
Rewrite

3. Derivative Rules:

4. Ex.) Differentiate the following, and SIMPLIFY
a) b) c)

5. Ex.) Find the equation of the tangent line to the curve y = x2(1 + lnx)
to the point where x = e.
Ex.) Determine the Maximum value of the function

6. Homework: p #3, 4, 5ab, 8, 10, 11