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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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$\frac{1}{3}\left(4x^2+3x+1\right)^{-\frac{2}{3}}\frac{d}{dx}\left(4x^2+3x+1\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (4x^2+3x+1)^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 the constant function (1) is equal to zero. The derivative of the linear function times a constant, is equal to the constant.