Finding Local Maximum and Minimum Values of a Function – Relative Extrema

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Finding Local Maximum and Minimum Values of a Function - Relative Extrema
Finding Local Maximum and Minimum Values of a Function – Relative Extrema
This calculus video tutorial explains how to find the local maximum and minimum values of a function. In order to determine the relative extrema, you need to find the first derivative, set it equal to zero, and solve for x which represents the critical numbers of the function. You need to put these numbers on a number line and create a sign chart. According to the first derivative test, if the sign changes from – to , it’s a relative maximum. If it changes from to -, it’s a relative minimum. This video contains plenty of examples and practice problems for you to work on.

Introduction to Limits: https://www.youtube.com/watch?vYNstP0ESndU
3-Step Continuity Test: https://www.youtube.com/watch?vWT7oxiiFYt8
Continuity & Differentiability: https://www.youtube.com/watch?vfml0-ELYLaE&
Limit Definition of The Derivative: https://www.youtube.com/watch?v-aTLjoDT1GQ
Calculus 1 – Derivatives: https://www.youtube.com/watch?v5yfh5cf4-0w
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Introduction to Related Rates: https://www.youtube.com/watch?vI9mVUo-bhM8
Derivative Notations: https://www.youtube.com/watch?v7BK_mmYckmI
The Cube: https://www.youtube.com/watch?vr5PTN2TgGwc
Inflated Balloon & Melting Snowball: https://www.youtube.com/watch?v8dm0UtPyYj8
Gravel Dumped Into Conical Tank: https://www.youtube.com/watch?vxvbrEfVLQ4k
Area of a Triangle: https://www.youtube.com/watch?vRGRhinA7YDI
The Ladder Problem: https://www.youtube.com/watch?vW3qoQIlfG0E
Distance Problem: https://www.youtube.com/watch?v_sbq6yZ9Kt8
Airplane Problems: https://www.youtube.com/watch?vjUn8MpV80po
The Shadow Problem: https://www.youtube.com/watch?v-En2IABPR0I
The Baseball Diamond Problem: https://www.youtube.com/watch?vzytwFSyH0_0
The Angle of Elevation Problem: https://www.youtube.com/watch?vdUBeikdfK10
More Practice Problems: https://www.youtube.com/watch?vps-r4nti5Go
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Extreme Value Theorem: https://www.youtube.com/watch?vSx2lPZlnWfs
Finding Critical Numbers: https://www.youtube.com/watch?vBp9EbV3COVA
Local Maximum & Minimum: https://www.youtube.com/watch?vWCq3sRzsJfs
Absolute Extrema: https://www.youtube.com/watch?v3wrXDw5ETh4
Rolle’s Theorem: https://www.youtube.com/watch?vLHym1ARc2cE
Mean Value Theorem: https://www.youtube.com/watch?vSL2RobwU_M4
Increasing and Decreasing Functions: https://www.youtube.com/watch?vDyl7jPlJXOM
First Derivative Test: https://www.youtube.com/watch?vG5wlKltW7pM
Concavity & Inflection Points: https://www.youtube.com/watch?vOhqNbQi9QPk
Second Derivative Test: https://www.youtube.com/watch?vG8GAsYkZlpE
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L’Hopital’s Rule: https://www.youtube.com/watch?vGh48aOvWcxw
Curve Sketching With Derivatives: https://www.youtube.com/watch?vJTVNUdL7sWs
Newton’s Method: https://www.youtube.com/watch?v-5e2cULI3H8
Optimization Problems: https://www.youtube.com/watch?vlx8RcYcYVuU
Marginal Cost & Total Average Cost: https://www.youtube.com/watch?vuPp1QZZKc8E
Marginal Revenue and Profit: https://www.youtube.com/watch?vVWShego7Ds8
Tangent Line Approximations: https://www.youtube.com/watch?vXQaCbFMnDo0
Differentials & Local Linearization: https://www.youtube.com/watch?vC5RI5eLzVfo
Estimating Function Values: https://www.youtube.com/watch?vNL0NFV-O8Vg
Antiderivatives: https://www.youtube.com/watch?vxaCPDMEkbig
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SAT Test Prep: https://www.youtube.com/watch?vfTGuTEQCsZY
ACT Test Prep: https://www.youtube.com/watch?vSsA7rZ8kczM
Calculus 1 Final Exam Review: https://www.youtube.com/watch?vWmBzmHru78w
Full-Length Exams and Worksheets: https://bit.ly/4990rzU

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Keywords: local maximum and minimum, calculus, relative extrema, critical numbers, first derivative, derivatives, problems, practice problems, examples, local maximum, local minimum, relative maximum, relative minimum

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