d/dx(2x)
= 2
simple power rule
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The derivative with respect to 'x' is 4y3 . The derivative with respect to 'y' is 12xy2 .
2x
To integrate a function you find what the function you have is the derivative of. for example the derivative of x^2 is 2x. so the integral of 2x is x^2.
The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.
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