Day 70 - Inverse Functions: Differentiation - 12.02.14 - Ozarka STEM

Calculus 1‎ > ‎Lessons - Semester 1 (2014)‎ > ‎Unit 5 - Logarithmic, Exponential, and Other Functions‎ > ‎

Day 70 - Inverse Functions: Differentiation - 12.02.14

Updates

Unit 5 Test on Friday!

Bell Ringer

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15
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Review

Algebra

Exponential Functions
Logarithmic Functions

Common and Natural Logarithms
Logarithmic Properties

Exponential-Logarithmic Example Problems
Derivatives

Chain Rule

Antiderivative

u-Substitution

Lesson

Inverse Functions

Checkpoints

Exit Ticket

Posted on the board at end of the block.

Lesson Objective(s)

How are derivatives of inverse functions found?

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

Mathematical Practice(s)

#1 - Make sense of problems and persevere in solving them
#2 - Reason abstractly and quantitatively
#5 - Use appropriate tools strategically
#6 - Attend to precision
#8 - Look for and express regularity in repeated reasoning

Past Checkpoints

Differentiation of the Natural Logarithmic Function

Checkpoints

Integration with the Natural Logarithmic Function

Checkpoints

Exponential Functions: Differentiation and Integration

Checkpoints

Bases Other Than e: Differentiation and Integration

Checkpoints

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.