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$\frac{d}{dx}\left(9x^{\left(4-6x^3\right)}+\frac{28}{-9x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 9x^(4-6x^3)+74/(-9x). Simplifying. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the 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}}.