Convolution Integral properties

[benfrankballi]

how would I show that y'(t) = x(t) * h'(t) and y'(t) = x'(t) * h(t)

I know that in an LTI system y(t) = x(t) * h(t) = $\int$ x($\tau$) * h(t-$\tau$) from $\infty$ to -$\infty$

But how would I go about trying to prove the first two equations?

 

[yungman]

Go to Differential Equation forum here to ask, this really belong to Fourier Transform area.