Derivative of y = (x+1) (x+2) / (x-1)(x-2)

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on Nov 14, 2024 at 4:52 am



You asked:

Find the derivative of the function y=(x+1)(x+2)(x−1)(x−2)y = \frac{\left(x + 1\right) \left(x + 2\right)}{\left(x - 1\right) \left(x - 2\right)} with respect to xx.

MathBot Answer:

dydx=x+1(x−2)(x−1)+x+2(x−2)(x−1)−(x+1)(x+2)(x−2)(x−1)2−(x+1)(x+2)(x−2)2(x−1)\frac{d y}{d x} = \frac{x + 1}{\left(x - 2\right) \left(x - 1\right)} + \frac{x + 2}{\left(x - 2\right) \left(x - 1\right)} - \frac{\left(x + 1\right) \left(x + 2\right)}{\left(x - 2\right) \left(x - 1\right)^{2}} - \frac{\left(x + 1\right) \left(x + 2\right)}{\left(x - 2\right)^{2} \left(x - 1\right)}

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