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$\frac{d}{da}\left(\frac{5\sqrt{x}-5\sqrt{a}}{x-a}\right)$
Learn how to solve problems step by step online. Find the derivative of 1/(x-a)(5x^1/2-5a^1/2). 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 -(5\sqrt{x}-5\sqrt{a}). The derivative of a sum of two or more functions is the sum of the derivatives of each function.