Core Maths: Differentiation 1

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Why for finding the gradient of tangents (in relation to curves) is the y coordinate irrelevant? Or is it if dx/dy=3y^2-5y you'd use the y part of (2, 1)? So it'd be 9y-5, so the gradient is 4? Or is it always dy/dx and the y part is irrelevant? 

AlchemistOfNirnroot