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Simplify the derivative by applying the properties of logarithms
Learn how to solve integrals involving logarithmic functions problems step by step online.
$\frac{d}{dx}\left(\frac{x^{4}}{2-x^2}\right)$
Learn how to solve integrals involving logarithmic functions problems step by step online. Find the derivative d/dx((x^(2+2))/(2-x^2)). Simplify the derivative by applying the properties of logarithms. 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}}. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function.