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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
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$\frac{2}{3}\frac{d}{dx}\left(\sqrt[3]{\ln\left(x\right)^{2}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 2/3ln(x)^2/3. 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}. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. Multiplying the fraction by \ln\left(x\right)^{-\frac{1}{3}}.