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$\frac{d}{dx}\left(\frac{-67}{\sqrt[3]{x^7}}+\frac{6}{x^2}+\frac{-121}{64\sqrt{x^3}}\right)$
Learn how to solve problems step by step online. Find the derivative d/dx((-201/3)/(x^7^1/3)+6/(x^2)-121/(64x^3^1/2)) using the sum rule. Simplifying. Simplify the derivative by applying the properties of logarithms. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}.