1. SECTION 5-1 The Derivative of the Natural Logarithm

2. Natural Logarithm Natural logarithm Logarithm with base e, where e ≈ 2.7182812846 ln(e) = 1

3. Properties of the Natural Logarithm 1) Domain (0, ∞ ) and Range (-∞, ∞) 2) The function is continuous, increasing, and one to one 3) The graph is concave down

4. 1.) Use the properties to rewrite the expression

5. Let u be a differentiable function of x such that general Chain rule absolute value Derivative of the natural logarithm

6. Find the derivative

12. Assignment Page 331 # 7-10, 31, 32, 34, 47-55 all, 57, 61, 63, 69, and 71