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The derivative of a function multiplied by a constant ($x^2$) is equal to the constant times the derivative of the function
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$3x^2\frac{d}{dy}\left(y^2z\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 3x^2y^2z. The derivative of a function multiplied by a constant (x^2) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (z) 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}. Subtract the values 2 and -1.