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okay welcome to our video on related rates of change which is going to be our last video in differentiation before we move into integration rates is another part of calculus and so related rates of change to be nothing kind of new here its the new way of looking at things okay so for example before hand we would have seen that y is equal to x squared and that means that dy DX is going to be equal to 2x yeah and weve called that the slope at any point do i DX so were just gonna call it something different now its still the same thing but its just another another name for a color so dy DX you can also call it is the rate of change of Y with respect to X okay so thats just a new name the rate of change of Y with respect to X or whatevers on the top the Y thats the rate of change of and what I was in the bottom the exits with respect to X theres just a new name for kind of this term we have here and the reason were going through it is that sometimes theyll just give you a sente