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Expert: Alon Mandes - 5/29/2009


Question
Dear friends,

I am trying to derivate an ecuation but with not much success. Could you give me a hand?

This is the ecuation: [(1+x^2)(x-1)^1/2]/[(2x+1)(3x^2 + 2x -1)^1/3]

I have tried to solve it myself but the furthest I have got is this:

(15x^5 - 7x^4 + 14x^3 - 6x^2 - x +1) / [(12x^2 + 12x + 3)(3x^2 + 2x - 1)^4/3]

But my book says that the result is [(2x/1+x^2)+1[/2(x-1)]-(2/2x+1)-[(6x +2)/3(3x^2 +2x-1)]]*[[(1+x^2)(x-1)^1/2]/(2x+1)(3x^2 +2x-1)^1/3]


Maybe my answer and the answer of the book are equibalent but I am not sure. I ask for your hlep please.

Thank you.

Answer
f(x)= (1+x²)√(x-1) / (2x+1)(3x²+2x-1)^⅓
f'(x)= { 2x√(x-1)+(1+x²)/[2√(x-1)] }*{ (2x+1)(3x²+2x-1)^⅓ } -
      { 2(3x²+2x-1)^⅓ + ⅓(2x+1)(3x²+2x-1)^(-⅔) }*{ (1+x²)√(x-1) }
      All this devided by (2x+1)²(3x²+2x-1)^(⅔)
I will leave it from here to to continue !

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".

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

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

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