Differentiate the following function with respect to $x$
$\frac{(x - 1) (x - 2)}{\sqrt{2}}$

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Solution

$y = \frac{(x - 1) (x - 2)}{\sqrt{2}} = x^{2} - 3 x + 2$
using quotient rule, differentiate the
above $e q^{n}$
$\frac{d y}{d n} = \frac{(\sqrt{2}) [2 x - 3] - (x^{2} - 3 x + 2) (0)}{(\sqrt{2})^{2}}$
$\Rightarrow \frac{\sqrt{2} (2 x - 3)}{\sqrt{2}, \sqrt{2}} \Rightarrow \frac{2 x - 3}{\sqrt{2}}$
$∴ \frac{d y}{d x} = \frac{2 x - 3}{\sqrt{2}}$ Answers

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