Question

Differentiate x2+1/x-2​

Answer 1

Explanation:

$y = \frac{ {x}^{2} + 1}{x - 2} \\ \\ \frac{dy}{dx} = \frac{( x - 2) \frac{d}{dx} ( {x}^{2} + 1) - ( {x}^{2} + 1) \frac{d}{dx} (x - 2)}{ {(x - 2)}^{2} } \\ = \frac{(x - 2)2x - ( {x}^{2} + 1)} {(x - 2) ^{2} } \\ = \frac{2 {x}^{2 } - 4x - {x}^{2} - 1 }{ {(x - 2)}^{2} } \\ = \frac{ {x}^{2} - 4x - 1}{ {x}^{2} - 4x + 4 }$