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Learn how to solve logarithmic differentiation problems step by step online.
$\frac{d}{dx}\left(\frac{4x^4-3x^3-18x^2+15x-3}{x^2-5}\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the derivative of (4x^4+1*-3x^3-18x^215x+-3)/(x^2-5). 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 -(4x^4-3x^3-18x^2+15x-3). Simplify the product -(-3x^3-18x^2+15x-3).