Intermediate Value Theorem and Finding Zeros | Calculus 1

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  • Опубліковано 15 вер 2024
  • We introduce the intermediate value theorem for continuous functions and see how to apply the intermediate value theorem to find the roots of an equation on an interval. The intermediate value theorem states that if f is a continuous function on a closed interval [a,b] then it must take on every value between f(a) and f(b) at some point in the interval. So if N is a number between f(a) and f(b) then there exists c in (a,b) such that f(c) = N. #calculus #apcalculus
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    Continuous Functions Explained: (coming soon)
    The Extreme Value Theorem: • The Extreme Value Theo...
    Using Intermediate Value Theorem to Find Roots: • Intermediate Value The...
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КОМЕНТАРІ • 12

  • @WrathofMath
    @WrathofMath  24 дні тому

    Support this course by joining Wrath of Math to access exclusive and early Calculus videos, original music, plus lecture notes at the premium tier!
    ua-cam.com/channels/yEKvaxi8mt9FMc62MHcliw.htmljoin
    Calculus 1 Exercises playlist: ua-cam.com/play/PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx.html
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  • @olivia_chen
    @olivia_chen Місяць тому +1

    thank you, it helped me a lot.

  • @lemonlover5011
    @lemonlover5011 2 місяці тому +1

    thank you, great job!

    • @WrathofMath
      @WrathofMath  2 місяці тому

      Thank you! I actually just recorded a video doing a basic IVT problem, here is an early link if it is of interest to you: ua-cam.com/video/4y3VE4NXHpk/v-deo.html

  • @user-xb8xr8mw3f
    @user-xb8xr8mw3f 6 місяців тому +1

    Thanks

  • @that1cr33p
    @that1cr33p 18 днів тому

    Does the function need to be differentiable between a and b?

  • @cheaire
    @cheaire Рік тому +1

    frog

  • @noureddinesaaidia4471
    @noureddinesaaidia4471 Рік тому

    thanks

    • @WrathofMath
      @WrathofMath  Рік тому

      Glad to help- thanks for watching!