Calculus/derivative

Advertisement

Expert: Alon Mandes - 8/30/2008


Question
How do I take the derivative of |Sin(t)| with respect to t(the absolute value of Sin(t) with respect to t)?

Answer
The function |sin(t)| is defined as follow :

|sin(t)|= sin(t)     ;   if sin(t)>0
 &       -sin(t)    ;   if sin(t)<0

Or in another form :

|sin(t)|= sin(t)     ;  if   2πk  < t  <  (2k+1) {k=0,1,2,..}
  &      -sin(t)    ;  if   (2k-1)π < t < 2πk   {k=1,2,3,..}

The functions sin(t) & -sin(t) are well known how to be derived.

Notice that in the points t={π,2π,3π,4π,5π,6π,....nπ...} the
derivative are not defined !!!

Alon.

Calculus

All Answers

Answers by Expert:

Ask Experts

Volunteer

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.

©2012 About.com, a part of The New York Times Company. All rights reserved.