Question

differentiate
y= (e^x)/(1+x)

Answer 1

please show step by step

Answer 2

quotient rule
\[\frac{d}{dx}\frac{f}{g}=\frac{gf'-f'g}{g^2}\]}

Answer 3

Use the quotient rule.
Which says:
\[\frac{d}{dx}[\frac{f(x)}{g(x)}]=\frac{f'(x)g(x)-f(x)g'(x)}{(g(x))^2}\].
Let e^x=f(x) and (1+x)=g(x)
So f'(x)=e^x
g'(x)=1
Plug them in:
\[\frac{(e^x)(1+x)-e^x(1)}{(1+x)^2}\].
Then you can simplify it. Tell me if you need more explanation :P

Answer 4

so if you really want to do it sept by step

Answer 5

what maleviolence19 said

Answer 6

yes thanks guys

Answer 7

malevolence sorry

Answer 8

No problem rmalik :P

Answer 9

so the answer i got would be \[ex^x/(1+x)2\]

Answer 10

would that be right malevolence19 or satellite73