You are here:

Calculus/Deriving 2e^x

Advertisement

Expert: Alon Mandes - 1/29/2009


Question
I would like to know how to derive 2e^x?

Thank you

Answer
The derivative of e^x is e^x .. Let's prove that :
y=e^x. Lets perform Ln for both sides , we get :
Lny=Ln(e^x)
Lny=xLn(e)
Lny=x . Let's derive both sides with respect to x :
y'/y=1
y'=y . That means :
y'=e^x. Q.E.D

Therefore, [2(e^x)]'=2[e^x]'=2e^x.

Alon.

Calculus

All Answers

Answers by Expert:

Ask Experts

Volunteer

Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

©2012 About.com, a part of The New York Times Company. All rights reserved.