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Calculus/Implicit Differentiation

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Expert: Alon Mandes - 11/12/2008


Question
Given: f(x,y)= a constant, Find the derivative dy/dx

a.) 1/y + 1/x = 0

Answer
Ok Alyssa we know that f(x,y)=1/y+1/x & we are interested in
diffrentiating the form f(x,y)=a, So let's derive..But 1st we must
keep in mind that :
1. d/dx {x} = 1
2. d/d/x {y} = y'
Ok, then let's get to work :
d/dx {1/y+1/x} = d/dx {a}
(-1/y^2)*y' - 1/x^2=0
1/x^2=y'/y^2
y'=y^2/x^2=(y/x)^2.

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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