AboutAlon 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".
Question Looking for the solution to d/dx ln((x^2+y^2)^(1/2))/a
Can you help?
Answer If y is independent of x then dy/dx=0.If not then dy/dx=y'
{Ln[f(x)]}'=[1/f(x,y)]*[df(x,y)/dx].
f(x,y)=(1/a)[x^2+y^2]^0.5
So df(x,y)/dx=(1/a)*{ 1/[x^2+y^2]^0.5 }* {2x+2yy'}. Note that if y
is independent of x then y'=0.
d/dx {Ln[f(x,y)]} = [1/f(x,y)]*(1/a)*{ 1/[x^2+y^2]^0.5 }* {2x+2yy'}
--> d/dx {Ln[f(x,y)]}=[2x+2yy']/[x^2+y^2].
