Increasing and Decreasing Functions - Calculus

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  • čas přidán 3. 03. 2018
  • This calculus video tutorial provides a basic introduction into increasing and decreasing functions. This video explains how to use the first derivative and a sign chart to determine the intervals where the function is increasing and decreasing and how to express the answer using interval notation with the help of a number line. The function is increasing whenever the first derivative is positive or greater than zero. The function is decreasing whenever the first derivative is negative or less than zero.
    Introduction to Limits:
    • Calculus 1 - Introduct...
    Derivatives - Fast Review:
    • Calculus 1 - Derivatives
    Introduction to Related Rates:
    • Introduction to Relate...
    _____________________________
    Extreme Value Theorem:
    • Extreme Value Theorem
    Finding Critical Numbers:
    • Finding Critical Numbers
    Local Maximum & Minimum:
    • Finding Local Maximum ...
    Absolute Extrema:
    • Finding Absolute Maxim...
    Rolle's Theorem:
    • Rolle's Theorem
    ________________________________
    Mean Value Theorem:
    • Mean Value Theorem
    Increasing and Decreasing Functions:
    • Increasing and Decreas...
    First Derivative Test:
    • First Derivative Test
    Concavity & Inflection Points:
    • Concavity, Inflection ...
    Second Derivative Test:
    • Second Derivative Test
    _________________________________
    L'Hopital's Rule:
    • L'hopital's rule
    Curve Sketching With Derivatives:
    • Curve Sketching - Grap...
    Newton's Method:
    • Newton's Method
    Optimization Problems:
    • Optimization Problems ...
    _______________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

Komentáře • 273

  • @TheOrganicChemistryTutor

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: czcams.com/video/G5wlKltW7pM/video.html

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      @vvvintagedarling Před 2 měsíci

      ​@@Kamal17824Oh that's not too bad! I'm in Calculus I right now and istg I'll be so happy when I never have to see another derivative again (this is my last math class) lol

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    Great tutorial. The only I am a bit confused is why on the interval it is positive, negative and positive when you substitute X for 5. All of the values were positive but you put a negative sign in the middle

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  • @marveyinvite6512
    @marveyinvite6512 Před 5 lety +5

    How does the -2 Infront of the absolute value function affect the shape of the graph?

  • @faisalmohamed4595
    @faisalmohamed4595 Před 6 měsíci

    So the concave is for the second derivative and this or Monotonic Functions is for first derivative ? Got it thanks

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    Thanks

  • @cherryayethihan
    @cherryayethihan Před rokem +1

    10:23 why is it decreasing on the left side and increasing on the right side?

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    @virajmhetar7456 Před rokem +1

    @ 9:20 , the function should be inc from -infinity to 0 ryt, because slope of the function when x

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    @Sean-yn7xe Před 3 měsíci

    Thanks bro i dont know why my professor had to make this so complicated

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    @tariq0102 Před rokem

    Your voice is awesome 😎