Question

differentiate. [(ae^x)+b]/[(ce^x)+d]... a,b,c,d are constants. i got this far..

Answer 1

\[[(ae^x+b)(ce^x+e^x)-(ce^x+d)(ae^x+e^x)]/[(ce^x+d)^2]\]

Answer 2

i dont know how to get the answer which is this..

Answer 3

\[[(ad-bc)e^x]/[(ce^x+d)^2]\]

Answer 4

Do you know the quotient rule? d/(dx)[(f(x))/(g(x))]=
(g(x)f^'(x)-f(x)g^'(x))/([g(x)]^2).
I think you should just be able to apply that
It's too long to write out but this shows step by step how to do it
http://www.wolframalpha.com/input/?i=%28ae^x%2Bb%29%2F%28%28ce^x%29%2Bd%29

Answer 5

I don't think that the answer you got is right

Answer 6

How did you get the (ce^x+e^x) term?