If differentiation of x^2 is 2x does that mean that in curve of y=x^2 at point x the slope will be 2x
Dear student, as we know that in a curve the slope at a point is tan(theta)=dy/dx at that point. So, yes differentiation of y=x^2 at point X will give slope at that point X and differentiation of x^2 is 2x. Regards.