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Question
what is the derivative of e^-x?
& What is the derivative of e^(4ln(x^3))?
The derivative of e^[f(x)] is f'(x)e^[f(x)] . Therefore :
[e^(-x)]'=-e^(-x) .
e^[4Ln(x^3)]=e^[Ln(x^12)]=x^12 Because aLnb=Ln(a^b) , & e^Ln(f)=f . Therefore :
The derivative of e^[4Ln(x^3)] = The derivative of e^[Ln(x^12)] = The derivative of x^12 =
12x^11 .
Alon.
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Answers by Expert:
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.
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