MathGroup Archive 1997

[Date Index] [Thread Index] [Author Index]

Search the Archive

Discontinuity


     I have the following function which is defined as:
     
      f(t)=t +10t^2 Sin[1/t]
     
     When you take the derivative of this function and evaluate it at
     f'[0] it is indeterminate at t=0, I would like to adjust the function 
     so that the function is differentiable at t=0.  I'm trying to state a 
     function y=f(t) such that f'(0)=1 but t is not a function of y in any 
     neighborhood of 0.  If you look at the plot of the derivative like
     
        Plot[Evaluate[D[f[t],t],{t,-.02,-0.01}]] or
        Plot[Evaluate[D[f[t],t],{t,-.002,-0.001}]] where 
        f[t] is defined as  f[t_]:=t-10t^2Sin[1/t].
     
     I want to use the function as defined and adjust it so that I get a 
     derivative of 1 at f'(0) without using a step function.
     
     Larry
     
     601-939-8555 extension 255
     
     larry.smith at clorox.com


  • Prev by Date: Q: default input field settable for Input/InputString?
  • Next by Date: Re: system of non-linear ODEs
  • Previous by thread: Q: default input field settable for Input/InputString?
  • Next by thread: Re: Discontinuity