If the input to a linear circuit is x(t) tu(t), then the output y(t) is called

If the input to a linear circuit is x(t) ¼ tu(t), then the output y(t) is called the ramp response.

Use the convolution integral to show that dyðtÞ

dt

¼

Zt 0

hðtÞdt ¼ gðtÞ

That is, show that the derivative of the ramp response is the step response.