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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(3\sqrt[3]{\left(5x^2+3\right)^{2}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 3(5x^2+3)^2^1/3. Simplify the derivative by applying the properties of logarithms. 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 a sum of two or more functions is the sum of the derivatives of each function.