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$\frac{d}{dx}\left(\frac{9x^4+\frac{9}{2}x^2+5x+4x^6+\frac{10}{3}x^3}{2x^2+3}\right)$
Learn how to solve problems step by step online. Find the derivative of (9x^4+9/2x^25x4x^610/3x^3)/(2x^2+3). Simplifying. 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}}. Simplify the product -(9x^4+\frac{9}{2}x^2+5x+4x^6+\frac{10}{3}x^3). Simplify the product -(\frac{9}{2}x^2+5x+4x^6+\frac{10}{3}x^3).