Intermediate Value Theorem and Finding Zeros | Calculus 1

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  • เผยแพร่เมื่อ 12 ก.ย. 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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ความคิดเห็น • 12

  • @WrathofMath
    @WrathofMath  21 วันที่ผ่านมา

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

    thank you, it helped me a lot.

    • @WrathofMath
      @WrathofMath  หลายเดือนก่อน

      Glad it helped!

  • @lemonlover5011
    @lemonlover5011 2 หลายเดือนก่อน +1

    thank you, great job!

    • @WrathofMath
      @WrathofMath  2 หลายเดือนก่อน

      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: th-cam.com/video/4y3VE4NXHpk/w-d-xo.html

  • @user-xb8xr8mw3f
    @user-xb8xr8mw3f 6 หลายเดือนก่อน +1

    Thanks

  • @that1cr33p
    @that1cr33p 15 วันที่ผ่านมา

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

  • @cheaire
    @cheaire ปีที่แล้ว +1

    frog

  • @noureddinesaaidia4471
    @noureddinesaaidia4471 ปีที่แล้ว

    thanks

    • @WrathofMath
      @WrathofMath  ปีที่แล้ว

      Glad to help- thanks for watching!