How do i differentiate x-2/x^2

Question

perl · Answer

do you mean (x-2)/x^2 or  x - 2/x^2

anonymous · Answer

(x-2)/x^2

gorv · Answer

$$\frac{ d \frac{ u }{ v}}{ dx }=\frac{ v*\frac{ du }{ dx } - u*\frac{ dv }{ dx }}{ v^2 }$$

gorv · Answer

u=x-2
v=x^2

gorv · Answer

can u do it now ??

anonymous · Answer

No sorry. I get to the stage where i have simplified it to be $$\frac{ 1 }{ x } - \frac{ 2 }{ x^2 }$$
But i don't know how to get the rational expression into a negative power.

gorv · Answer

u got the wrong ans

gorv · Answer

u=x-2 and v= x^2
find du/dx and dv/dx and put in the formula i gave earlier

anonymous · Answer

I have converted the $$\frac{ 1 }{ x }$$ to $$x^-1$$ but i don't know how to convert  $$\frac{ 2 }{ x^2 }$$ . Can you please show me how you can convert it... I know how to do the rest....

ganeshie8 · Answer

$$\large  \dfrac{1}{a^n}  = a^{-n}$$

ganeshie8 · Answer

$$\large  \dfrac{2}{x^2}  = 2 \times    \dfrac{1}{x^2} = 2 \times   x^{-2}$$

anonymous · Answer

is there a reasons why you times by 2 if the original question is divided by 2

ganeshie8 · Answer

multiply  $\large  a$ and   $\large \dfrac{1}{b}$

what do you get ?

anonymous · Answer

a/ab

anonymous · Answer

$$\frac{ a }{ab }$$