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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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$2\left(6x^3z^2+18y^3z\right)\frac{d}{dx}\left(6x^3z^2+18y^3z\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (6x^3z^2+18y^3z)^2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant 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}.