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Calculus/Composite Function

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Expert: Alon Mandes - 12/10/2008


Question
Let K(x)be a composite function defined as K(x)=F(G(x)). Find K'(3)if   X F(x) F'(x) G(x) G'(x)
              1  2    5     -3   5
              2  3    1      0   4
              3  4    2      2   3
              4  6    4      3   .5

Answer
   x      F       F'        G       G'
   1      2       5        -3       5
   2      3       1         0       4
   3      4       2         2       3
   4      6       4         3      .5

K(x)=F(G(x))
d/dx{F(G)}=d/dx{F(G)}*d/dx{G}
F'(x)=F'(G(x))*G'(x)
F'(3)=F'(G(3))*G'(3)=F'(2)*3=1*3=3.

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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