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A linear function, for example y(x) = ax + b has the first derivative a.
There should not be any y in the derivative itself since y or y(x) is the function whose derivative you are finding.
The "double prime", or second derivative of y = 5x, equals zero. The first derivative is 5, a constant. Since the derivative of any constant is zero, the derivative of 5 is zero.
The derivative with respect to 'x' is 4y3 . The derivative with respect to 'y' is 12xy2 .
assuming that you are referring to a function: f(y) = y×y or better put: f(y) = y2 Then it's derivative would be: f'(y) = 2y