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$\frac{d}{dx}\left(3\sqrt[3]{\left(5x^2+3\right)^{2}}\right)$
Learn how to solve problems step by step online. Find the derivative using the product rule d/dx(3(5x^2+3)^2^1/3). Simplifying. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=3 and g=\sqrt[3]{\left(5x^2+3\right)^{2}}. The derivative of the constant function (3) is equal to zero. Any expression multiplied by 0 is equal to 0.