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Topic: Discontinuity
Replies: 1   Last Post: Mar 21, 1997 11:08 PM

 Messages: [ Previous | Next ]
 Larry Smith Posts: 5 Registered: 12/7/04
Discontinuity
Posted: Mar 18, 1997 10:43 PM

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@clorox.com

Date Subject Author
3/18/97 Larry Smith
3/21/97 Pasquale Nardone