Find the derivative $\frac{d}{dx}\left(\frac{3x^2}{2y}\right)$

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$\frac{1}{2y}\frac{d}{dx}\left(3x^2\right)$

Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx((3x^2)/(2y)). The derivative of a function multiplied by a constant (\frac{1}{2y}) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (3) is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.