EASY MULTIPLE CHOICE: Which of the following functions grows at the same rate as e^x as x goes to infinity?

Question

erinkb99 · Answer

Answers: 
e^x+3
 e^3x
 e^2x
 e^−x

evoker · Answer

This is basically asking which have the same derivative

erinkb99 · Answer

I was evaluating these with L'Hospital. That was its f'(x)/g'(x) can not be equal to 0 or infinity to be the same

evoker · Answer

nah just look at the derivatives, derivative being the rate of change.

evoker · Answer

l'hopital is used to calculate limits of functions that have inf/inf or 0/0

erinkb99 · Answer

Is e^-x correct? Isn't that derivative -e^-x

evoker · Answer

i would say the first the derivative of e^x is e^x while the derivative of e^x+3 is also e^x

erinkb99 · Answer

Oh yea, its a constant

erinkb99 · Answer

I have one more question like this if either of you would like to help

evoker · Answer

Sure go ahead