What is the roll’s theorem in mathematicsme quickly

Never heard of Roll's theorem, i'm assuming you're talking about Rolle's theorem. 
The theorem states that in a continuous graph on a closed interval, if any two points have the same y value. For example if f(3) = 4 and f(6)=4, then in between those two points there is a value that has a derivative on zero. Meaning that the slope is zero. 

It sounds a little confusing but it's really easy, basically take two points on a graph. If anywhere in between those two points you have an x value that has the same y value, then in between those two points you'll have an x value that has a derivate of zero. 

mathematically it could be written as 
f(a) = f(b) 
Then f(c) = 0 

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