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$\frac{d}{dx}\left(\frac{11}{12\sqrt[3]{x^{7}}}-\sqrt{9x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative d/dx(11/(12x^7^1/3)-(9x)^1/2) using the sum rule. Simplifying. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-1 and g=\sqrt{9x}. The derivative of the constant function (-1) is equal to zero.