Prove (dy/dx) = (d/dx)(u/v) = [v(du/dx) - u(dv/dx)]/(v^2), if y = u/v

The derivative of the quotient of two functions formula. Prove (dy/dx) = (d/dx)(u/v) = [v(du/dx) - u(dv/dx)]/(v^2), if y = u/v, or the derivative of y with respect to x of the quotient of two functions is equal to the quantity of v times the derivative of u with respect to x minus u times the derivative of v with respect to x all divided by v square, if y = u/v.

Proving this formula by means of the method of differentiation involving limits and increments.

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