Prove (dy/dx) = (d/dx)(uv) = u(dv/dx) + v(du/dx), if y = uv

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The derivative of the product of two functions formula. Prove (dy/dx) = (d/dx)(uv) = u(dv/dx) + v(du/dx), if y = uv, or the derivative of y with respect to x of the product of two functions is equal to u times the derivative of v with respect to x plus v times the derivative of u with respect to x, if y = uv.

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

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