Question

y=(x-1)(x+2) Differentiate​

Answer 1

$\huge\mathfrak\red{Answer}$

FORMULA USED.....

$let \: y = \frac{a}{b} \\ \\ than \: differentiation \: of \: y \: is \: given \: by \\ the \: formula \\ \\ dy = \frac{( {b}) \times d(a) - ( {a}) \times d(b) }{ {b}^{2} }$

USING THIS FORMULA

$y = \frac{x - 1}{x + 2} \\ \\ \frac{dy}{dx} = \frac{(x + 2) \times d(x - 1) -(x - 1) \times d(x + 2) }{ {(x + 2)}^{2} } \\ \\ \frac{dy}{dx} = \frac{(x + 2)(1) - (x - 1)(1)}{ {(x + 2)}^{2} } \\ \\ \frac{dy}{dx} = \frac{x + 2 - x + 1}{ {( x + 2)}^{2} } \\ \\ \frac{dy}{dx} = \frac{3}{ {(x + 2)}^{2} }$