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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_]:=t10t^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 6019398555 extension 255 larry.smith@clorox.com



