## Section 4.4 - Derivatives of Exponential and Logarithmic Functions

**Essential Question(s):**

What are the similarities and differences between the derivatives of exponential and logarithmic functions?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your Cornell notes.

__Derivative of e^x__

- What is the derivative of e^x? (pg 180)
- How do you find the derivative of e^x? (Ex 1 pg 180)

__Derivative of a^x?__

*Read the sidebar and take notes as needed. (pg 181)*- What is the derivative of a^x? (pg 181)
- How do you apply the derivative of a^x? (Ex 2 pg 181)

__Derivative of ln (x)__

- What is the derivative of ln(x)? (pg 182)
- How do you apply the derivative of ln(x)? (Ex 3 pg 182-183)

__Derivative of log base a of x__

- What is the derivative of log base a of x? (pg 183)
- How do you use the derivative of log base a of x? (Ex 4 pg 183)

__Power Rule for Arbitrary Real Powers__

- What is the power rule for arbitrary real powers? (pg 184)
- How do you apply the power rule? (Ex 5 pg 184)
- How do you find the domain after using the power rule? (Ex 6 pg 184-185)
- How can you use logs with derivatives? (Ex 7 pg 185)
- How can exponential and logarithmic derivatives get applied? (Ex 8 pg 185-186)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 180 - 186.
- Make sure to read the paragraphs between the examples and sidebar snippets.