Prove (dy/dx) = (d/dx)(cv) = c(dv/dx), if y = cv

The derivative of the product of a constant and a function formula. Prove (dy/dx) = (d/dx)(cv) = c(dv/dx), if y = cv, or the derivative of y with respect to x of the product of a constant and a function is equal to a constant times the derivative of v with respect to x, if y = cv.

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

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