Question

differentiate using quotient rule (x-1)(x+2)/x

Answer 1

\[
\frac{(x-1)(x+2)}{x}=\frac{x^2+x-2}{x}\\
\left(\frac f g \right)'=\frac{gf'-fg'}{g^2}\\
f=x^2+x-2,\ g=x\\
f'=2x+1,\ g'=1
\]

Answer 2

You can take it from there?

Answer 3

yh it will be x(2x+1)-(x^2+x-2)1/x^2

Answer 4

s this ryt nbouscal

Answer 5

2x^2+x-x^2-x+2/x^2

Answer 6

Can you simplify that further?

Answer 7

yh will it be \[x^2+ 2/x^2\]

Answer 8

Yeah, which you can simplify further to \(1+\dfrac{2}{x^2}\)

Answer 9

and this = 2 am i ryt ?

Answer 10

k s this the final answer

Answer 11

yes

Answer 12

thk u so mch