Find the derivatives of this function

In(ye^x)=3

Dear ilham,

ln a = b, then e^b = a

similarly, ln(ye^x) = 3 => e^3 = ye^x

y =  e^(3-x)

differentiating on both sides,

dy/dx = -e^(3-x)

Plz approve the answer.....

Approved

     in(ye^x)=3                                                                              y=e³/e^x

=>ye^x=e³

=>(ye^x )'=(e³)'

^=>ye^x+e^xdy/dx=0

=>dy/dx=-y =-e^3-x

Approved