### Day 72 - Work Day - 04.30.15

Update
• Unit 5 Test, this Friday!

Questions

Bell Ringer
• Posted on the board!

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)
• Exponential Functions (e^x): Differentiation and Integration (video)
• Exponential Functions (a^x): Differentiation and Integration (video)
• Exponential Functions (a^x): Differentiation and Integration (video)
• Differential Equations

Lesson
• Work Day

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

Lesson Objective(s)
• Work Day
Skills
1. Calculate the derivative of the natural logarithmic function.
2. Integrate functions using the natural logarithmic function.
3. Calculate the derivative of exponential functions with a base of e.
4. Calculate the antiderivative of exponential functions with a base of e.
5. Calculate the derivative of exponential functions with a base other than e.
6. Calculate the antiderivative of exponential functions with a base other than e.
7. Solve differential equations.

#### 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