Intermediate Value Theorem

[@TheOrganicChemistryTutor]

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MR. Organic Chemistry Tutor, this is a fantastic video/lecture on the Intermediate Value Theorem in Calculus. This is another important theorem in Mathematics.

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[@shpoof]

Thank you! This is very helpful, I have a calc exam in a few hours 😅

[@cuneiformed]

Since it was asked in these comments like a year ago the way to solving the first problem is by using Cardano’s Method

[@padminicmenon7628]

Thank u I have been searching for IVT for my xams. After 3 days I hav maths xam 😅😅😅😂😂 . Thank u for uploading. I really don't understand when my teacher takes class. But by watching Ur video for one time I am able to understand the concepts. Thank u once again❤❤❤

[@mutaeb197]

Why do we need to calculate the interval (i.e. [0,3] ) if we were given the f(c) value? must it be between f(0) and f(3)? and thanks for the explaining you are AWESOME

[@rawrdinoe4193]

We have to make sure that the equal with work right with the interval. f(0) or f(3), one has to be negative and the other has to be positive.

[@johnsmapreacher6525]

To show you (students) that the K value is really in-between f(a) and f(b) The question is telling you, however he(organic chemistry tutor) is showing you that IVT is applicable.

[@sarahlolo2100]

What if we’re not given an interval only the equation and asked to find if a root exists

[@mahinrahman5783]

solve the equation for f(x)= 0 that's the answer

[@khalolyyan7971]

On the first example, sign change with indicate that there is a root because it crosses the x axis.. awsome video! Thank you

[@LafErrari2040]

Hey, so on the third example, how did you get (x-2)(2x+1)?

[@ericwang9692]

He factored the equation by grouping

[@sohamsantra7548]

He did factorisation of the quadratic equation

[@Gg-bn4vz]

what if the teacher does not give you an interval? how do you find the interval yourself?

[@neutronzz3543]

Graph and pick an interval I assume

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thank you so much your videos made me understand better

[@michaelkeller5714]

The Organic Chemist strikes again! Mucho gracias.

[@jameswindolf5939]

So.....we know what NOT the answer is for the first example. The NOT answer is 1....sooooooo. What IS the answer?!

[@kyleholland7154]

This^ Doing an equation using cube roots and I still don't know how to finish this.. Ugh!

[@usctrojanfreak]

@@kyleholland7154 probably a little late but for anyone who stumbles upon this present day, just solve for x. FACTOR the polynomial after you set it to zero. But most of the time your professor or teacher will just ask you to SHOW that there is a root or zero within the interval, which is exactly what he did at 1:57

[@zyronleerecto2050]

His first example was a mess, it is not an integer but a fraction so he moved to the second example

[@dalwidaocristalmayt.7411]

#1 I cnt understand it I'm sorry but u move to another example like it's some disease

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[@Full60]

How do you solve X^3+4x-2=0 like in the first example?

[@Raymond.Motshabi]

thank you , thank you , thank you

[@aleksandarristoski2777]

I have a question. In the first example f(x)=x^3+4x-2 where we have [0,2] where a=0 , b=0. So we get f(0)= -2 and f(2) = 14 . Right. So we try to find "c" where f(a)

[@prodby_jarom]

I think that's because he said the problem to solve was proving that there is a c such that f(c)= 0. He proved it with this theorem but didn't solve the exact value (which wouldn't be necessary for the problem he stated)

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Love this guy ❤

[@thewhat2]

Wait shouldn't it be -1

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Thank you

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Don't compare the god with one of his creations dumbass

[@adam3141]

If you were to show that a root exists betwwn say [-5,5] of x² for argument sake, if you plug in the numbers your going to get 25 for each one, but the IVT still holds there is a number c where f(c) is 0. I can see that if you have f(a) negative and f(b) positive then it's trivial but if both are positive or negative, it would seem to me that you would need to dig a bit further right, like finding critical points. Is that right?

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G 197

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where did 11 come from?

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why is f(c) = 11

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why are you using 40????

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1st like and comment

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Thanks

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6:28

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In 8:30 you could've just used delta

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You did not even explain the purpose of this theory

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