Question
Differentiate the following functions with respect to x:
$\frac{\text{x}^2+1}{\text{x}+1}$
$\frac{\text{x}^2+1}{\text{x}+1}$
$=\frac{(\text{x}+1)\times\text{2x}-(\text{x}^2+1)\times1}{(\text{x}+1)^2}$
$=\frac{\text{2x}^2+\text{2x}-\text{x}^2-1}{(\text{x}+1)^2}$
$=\frac{\text{x}^2+\text{2x}-1}{(\text{x}+1)^2}$
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(2 + i) x2 - (5 - i) x + 2 (1 - i) = 0