Question

find derivative

Answer 1

@henpen

Answer 2

\[e^y=\frac{x}{1+x^2}\]Differentiate both sides wrt x

Answer 3

\[\frac{d e^y}{dy} \frac{dy}{dx}=\frac{1}{1+x^2}-x\frac{1}{(1+x^2)^2}2x\]

Answer 4

\[\huge \frac{dy}{dx}=(\frac{1}{1+x^2}-\frac{2x^2}{(1+x^2)^2})e^{\ln(\frac{x}{1+x^2})}\]

Answer 5

Oh dear, that should be \[ e^{-....}\]

Answer 6

why should i use defferentiation

Answer 7

can i use ln(x)=1/x

Answer 8

note: d ln(x)/dx=1/x, not ln(x)=1/x