The Extended Product of an Exponential and a Sinusoid (cosine)
by Mike Martin

On this page, you can vary the parameters in a extended function formed by multiplying an exponential and a sinusoid (cosine). Once the parameters are set you can plot the function and its first and second derivatives. Submit real values for all of the parameters. Use at your own risk as some parameter values may produce erroneous graphs, but parameters consistent with the literature will work. The green line in the graphic represents the phase shift, δ, along the t-axis.

The function may be written as

f ( t ) = A ea ( t - δ ) cos ( c ( t - δ ) )

Enter in the value of the parameters A, a, c, δ, and select the plotting bounds, then press the "Evaluate" button.

A =  

a =  

c =  

δ =  

  ≤   t   ≤  


None at this time.