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 Given y=2x-tanx, 0_<x_<2pi, determine the position of maxima and minima
Answer First let's find the derivative of y & set it equal to zero :
y'=2-1/[cos(x)]^2. (because tangx'=(sinx/cosx)'=1/(cosx)^2.
y'=0 gives : 2=1/[cos(x)]^2 --> cosx=sqrt(1/2)=0.707 So x=45 degrees.
or x=pi/4, & this value is in the given domain.
