Derecho is pretty generic term for long duration straight line winds associated with thunderstorm complexes. The winds are generally caused by downbursts or clusters of downbursts. Serial derechos involve multiple bow echos associated with an elongated squal line such as is associated with spring and fall weather fronts. Progressive derechos are the sort we are seeing now pin-wheeling around the periphery of big high pressures.
Microburst got Delta 191. Microbursts are a type of downburst that are small in spatial scale but that can be very violent. That particular phenomenon was one of the big motivators for deploying the NEXRAD network around airports. NEXRAD, using the doppler effect, allows meteorologists and flight control to detect vertical wind sheer near the airport whereas previous versions of weather radar could only detect precipitation. Microburst can occur with just about any intense convection.