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Expert: Alon Mandes - 9/3/2009


Question
Hi!

Find the derivative of the function f(x) = sqrt(x+1) (e^3)

Can you walk me thru this one please?  It's getting above my head now.
Thank you.

Answer
I think you meant f(x)=[e^3x]*√(x+1) . In this case we will follow the rule :
[f*g]'=f'*g+f*g' . Where ' represent the derivation . Therefore :
f'(x) = { [e^3x]*√(x+1) }' = [e^3x]' * √(x+1) + [e^3x]*√(x+1)' .
Now let's derive each component alone :
[e^3x]'=3e^(3x)  &   √(x+1)'=1/√(x+1) . Hence,
f'(x) = [3e^(3x)]*√(x+1) + [e^3x]/√(x+1)

Alon.  

Calculus

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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".

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

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

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