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$\frac{d}{dx}\left(\frac{x^3+4x^2-5x+4}{x^2+1}\right)$
Learn how to solve problems step by step online. Find the derivative of (x^3+4x^21*-5x+4)/(x^2+1). 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 -(x^3+4x^2-5x+4). Simplify the product -(4x^2-5x+4).