Derivative of y = (x+1) (x+2) / (x-1)(x-2)
You asked:
Find the derivative of the function \(y = \frac{\left(x + 1\right) \cdot \left(x + 2\right)}{\left(x - 1\right) \cdot \left(x - 2\right)}\) with respect to \(x\).
MathBot Answer:
\[\frac{d y}{d x} = \frac{x + 1}{\left(x - 2\right) \left(x - 1\right)} + \frac{x + 2}{\left(x - 2\right) \left(x - 1\right)} - \frac{\left(x + 1\right) \left(x + 2\right)}{\left(x - 2\right) \left(x - 1\right)^{2}} - \frac{\left(x + 1\right) \left(x + 2\right)}{\left(x - 2\right)^{2} \left(x - 1\right)}\]