Calculus Chapter 6 - Applications of the Derivative
Section 6.1 - Absolute Extrema
This video describes the steps needed to find the absolute min/max of a function on a closed interval.
Answers to assignment - There is a mistake in #24, it should be a minus sign in the numerator of the derivative, which changes the answers completely. See the answer sheet in class for the correct answer.
This video describes the steps needed to find the absolute min/max of a function on a closed interval.
Answers to assignment - There is a mistake in #24, it should be a minus sign in the numerator of the derivative, which changes the answers completely. See the answer sheet in class for the correct answer.
Section 6.2 - Applications of Extrema
There are no notes for this section. Each problem is different, read the question, make sense of what is being asked, get the equation from the given info. You will be trying to find the minimum/maximum for a function, this means you will need to find the derivative and critical numbers.
Answers
There are no notes for this section. Each problem is different, read the question, make sense of what is being asked, get the equation from the given info. You will be trying to find the minimum/maximum for a function, this means you will need to find the derivative and critical numbers.
Answers
Section 6.4 - Implicit Differentiation
Video #1 - Idea of an Implicit function and an example of finding the derivative.
Video #2 - Examples of implicit differentiation with product rule and exponential functions.
Video #3 - Finding the equation of the tangent line at a specific point.
Answers to # 1-4, 5-15 odd
Answers to # 17-23 odd, 27
Video #1 - Idea of an Implicit function and an example of finding the derivative.
Video #2 - Examples of implicit differentiation with product rule and exponential functions.
Video #3 - Finding the equation of the tangent line at a specific point.
Answers to # 1-4, 5-15 odd
Answers to # 17-23 odd, 27
Section 6.5 - Related Rates
Video #1 - Idea of Related Rates explained and example worked through.
Video #2 - Story problem worked through with thought process for all examples.
Answers to worksheet #1
Answers to WS #1 part 2 - the story problems
Answers to WS #2
Answers to WS #3
Answers to WS #4
Video #1 - Idea of Related Rates explained and example worked through.
Video #2 - Story problem worked through with thought process for all examples.
Answers to worksheet #1
Answers to WS #1 part 2 - the story problems
Answers to WS #2
Answers to WS #3
Answers to WS #4
Section 6.6 - Linear Approximation
Video # 1 - Idea of Linear Approximation with basic example
Video #2 - Using the derivative to approximate values.
Video #3 - Your favorite, story problems!
Answers for Day 1 assignment
Answers to assigned story problems
Video # 1 - Idea of Linear Approximation with basic example
Video #2 - Using the derivative to approximate values.
Video #3 - Your favorite, story problems!
Answers for Day 1 assignment
Answers to assigned story problems