Day 69 - Work Day - 12.01.14 - Ozarka STEM

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

Day 69 - Work Day - 12.01.14

Updates

Unit 5 Test on Friday!
Go over Summative Exam 2

Link

Bell Ringer

Posted on board

Review

Algebra

Exponential Functions
Logarithmic Functions

Common and Natural Logarithms
Logarithmic Properties

Exponential-Logarithmic Example Problems
Derivatives

Chain Rule

Antiderivative

u-Substitution

Differentiation of the Natural Logarithmic Function
Integration with the Natural Logarithmic Function
Exponential Functions: Differentiation and Integration

Lesson

Bases Other Than e: Differentiation and Integration

Checkpoints

$\int\sin(x)dx=-\cos(x)+C$
$\int\cos(x)dx=\sin(x)+C$
$\int\tan(x)dx=-\ln |cos(x)|+C$
$\int \csc(x)dx=-\ln|\csc(x)+\cot(x)|+C$
$\int \sec(x)dx=\ln|\sec(x)+\tan(x)|+C$
$\int \cot(x)dx=\ln|\sin(x)|+C$

Exit Ticket

Posted on the board at end of the block.

Lesson Objective(s)

How are derivatives found when bases are not e?

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