### Day 69 - Exponential Functions: Differentiation and Integration - 04.27.15

Update
• Unit 5 Test, this Friday!
• Go over previous Exit Ticket
1. Integration using the Natural Logarithmic Function 1. Integration using the Natural Logarithmic Function 1. Integration using the Natural Logarithmic Function 1. Integration using the Natural Logarithmic Function 1. Integration using the Natural Logarithmic Function Questions

Bell Ringer
1. Exponential Differentiation 1. Exponential Differentiation 1. Exponential Integration 1. Exponential Integration 1. Exponential Integration Review
• Prerequisites
• Derivatives
• Derivative Rules
• Power Rule
• Constant Rule
• Trig Derivatives
• Logarithm Properties
• Differentiation using the Natural Logarithmic Functions (video)
• Integration using the Natural  Logarithmic Function (video)

Lesson
• Exponential Functions: Differentiation and Integration (video)

Exit Ticket
• Posted on the board at the end of the block!

Lesson Objective(s)
• How can the derivative of natural logarithmic functions be calculated?
Skills
1. Explain why the power rule does not work when integrating 1/x.
2. Calculate the derivative of the natural logarithmic function.

#### In-Class Help Requests

Standard(s)
• APC.9
• Apply formulas to find derivatives.
• Includes:
• derivatives of algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions
• derivations of sums, products, quotients, inverses, and composites (chain rule) of elementary functions
• derivatives of implicitly defined functions
• higher order derivatives of algebraic, trigonometric, exponential, and logarithmic, functions