Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. The Natural Logarithmic Function: Differentiation (Section 5-1)

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Copyright © Houghton Mifflin Company. All rights reserved. 5-2 Definition of e and Figure 5.5 Chart pg 325

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Copyright © Houghton Mifflin Company. All rights reserved. 5-3 Theorem 5.3 Derivative of the Natural Logarithmic Function Chart pg 326

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 1

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 2

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 3

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 4

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 5

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 6

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 7

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. HW #4 pg 329 – 330 (37-59 odd)

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 8

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 9

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Copyright © Houghton Mifflin Company. All rights reserved Theorem 5.4 Derivative Involving Absolute Value Chart pg 328

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 10

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 11

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find an equation of the tangent line to the graph of f at the given point. Example 12

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Use implicit differentiation to find dy/dx. Example 13

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Locate any relative extrema and inflection points. Example 14

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Use logarithmic differentiation. Example 15

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. HW #5 pg 329 – 330 (63-71 odd, odd, odd, odd)