In trying to understand the Laplace transform of the nth derivative of a function, i have started by calculating the transform of the first derivative:
would result in , which in the solution leads to just . This leads to my question: How do we evaluate what leads to, since we do not know what kind function f(x) is? The denominator's infinity comes from an exponential function, which goes faster towards infinity than a non-exponential, but what if f(x) were also an exponential?
If anyone could reply, i would be grateful.