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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

Learn how to solve differential calculus problems step by step online.

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

Learn how to solve differential calculus problems step by step online. Find the derivative of (sin(xy)-x^2)^1/3. 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 (-1) 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}.

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