Question

Differentiate the function x+2/x-1

Answer 1

Answer:

$\huge\pink{\boxed{\blue{\boxed{ \purple{ \boxed{{\pink{Answer}}}}}}}} \\ \large\pink{\boxed{\blue{\boxed{ \purple{ \boxed{{\pink{Your~answer↓}}}}}}}} \\ \small\bold\red{ \frac{d}{dx} (\frac{x + 2}{x - 1}) } \\ = \frac{(x - 1) \frac{d}{dx} (x + 2) - (x + 2) \frac{d}{dx} x - 1)}{ {(x - 1)}^{2} } \\ = \frac{(x - 1)(1 - 0) - (x + 2)(1 - 0)}{ {(x - 1)}^{2} } \\ = \frac{x - 1 - x - 2}{ {(x - 1)}^{2} } \\ = \frac{ - 3}{ {(x - 1)}^{2} }$

$\small\bold\red{formula \: of \: differentiation \: used} \\ \small\bold\red{1. \: quotient \: rule \: \frac{d}{dx} \frac{u}{v} = \frac{v \frac{d}{dx}u - u \frac{d}{dx} v }{ {v}^{2} } } \\ \small\bold\red{2 . \: \frac{d}{dx}x = 1 } \\ \small\bold\red{3. \: \frac{d}{dx}k = 0 }$

Answer 2

this

is

correct.............