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Learn how to solve problems step by step online. Find the derivative of ((x+5)^2-(x+11)(x-1))/((x+3)^2-(x+5)(x+1)). Simplifying. Simplify the product -(x+11). 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 -(\left(x+5\right)^2+\left(-x-11\right)\left(x-1\right)).
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