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$\frac{d}{dx}\left(\frac{12x^3+x^2-5x+3}{x-2}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (12x^3+x^21*-5x+3)/(x-2). 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 -(12x^3+x^2-5x+3). Simplify the product -(x^2-5x+3).