Part 4
Application of
derivatives
Application of
derivatives
Application of
derivatives
Application of
derivatives
Application of
derivatives
Application of
derivatives
Application of
derivatives
Application of
derivatives
Application of
derivatives
Application of
derivatives
Application of
derivatives
Application of derivatives
Application of
derivatives
Application of
derivatives
Application of
derivatives
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Equation
of tangent lines
Equation
of tangent lines
Equation
of tangent lines to trig functions
Curve Sketching
1.
What
are critical points?
2.
Critical Points
3.
Finding
Critical Numbers
4.
Increasing or Decreasing
5.
Increasing Decreasing by first derivative
6.
Increase or Decrease rational function
7.
Finding
Absolute Maximum and Minimum Values - Absolute Extrema
8.
Finding
Inflection Points & Concavity on a Graph
9.
First Derivative Test
10.
Second Derivative Test
11.
Concavity, Inflection Points, and Second Derivative
12.
Relative Extrema, Local Maximum and Minimum
13.
Local Maximum and Minimum Values
14.
Finding Absolute Maximum and Minimum Values
15.
Applications Graphs
16.
Curve
Sketching - First & Second Derivatives -
17.
Curve Sketching Using The First And Second
Derivatives
18. Graphing
19.
Graphing
a Derivative Function
Optimization
Maximize
Profit Marginal Profit
Marginal
Analysis Optimization: Fence
Fence Max Volume Max can Volume
More Optimizations Largest area
Optimization
Fence Problems, Cylinder, Volume of Box, Minimum Distance & Norman Window
Optimization:
cost of materials
Related Rules
1.
Many examples of Related Rates
2.
Related Rates(Ladder)
3.
Related Rates(Ladder)
4.
Related Rate(Circle)
5.
Relates Rates - Gravel Being Dumped & Conical
Tank Problem
6.
Related Rates - The Shadow Problem
7.
Related Rates - Inflated Balloon & Melting
Snowball
8.
Related Rates - The Baseball Diamond
9.
Related Rates - Airplane Problems
10. Related
Rates - Angle of Elevation
L’Hopital’s Rule
1.
What
is L'Hospital's rule?
2.
Tricks for Dealing with Indeterminate Forms of Limits
3.
Understanding Limits and L'Hospital's Rule
4.
L'hospital's
Rule Indeterminate Forms
5.
L'hopital's rule
6.
L'Hospital's Rule Exercises Part 1
7.
Tricky L'Hopital's Rule problem
8.
Failure of L'Hospital's Rule
What is linear approximation
1.
What is linear approximation?
2.
Linear
Approximation
3.
Finding
The Linearization of a Function
4.
Differentials
and Derivatives - Local Linearization
5.
Linear Approximation, Differentials
6.
delta
y vs. dy (differential)
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