Question

Differentiate
(x+1)
(x+2)
​

Answer 1

Answer:

question is not clear write it properly

Answer 2

${\bold {\boxed{\underline {\huge {\red {Answer :}}}}}}$

Differentiate with respect to x

$\frac{d( \frac{x + 1}{x + 2} )}{dx}$

On applying division rule of diffrentiation in this problem we get,

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

After putting all this in formula we get,

$= \frac{(x + 2) \times 1 - (x + 1) \times 1}{ (x + 2)^{2} } \\ = \frac{x + 2 - x - 1}{(x + 2)^{2} } \\ = \frac{1}{ {(x + 2)}^{2} }$

So answer will be:

$\frac{1}{(x + 2)^{2} }$