insect

[noeljamma]

what is the name of the insect whose larva is called a nymph

[spudqueen]

Dragonfly and damselfly.

[heathfield]

There are many, and the term applies to those insects in the larval stage that eventually metamorphose directly into the adult, rather than going through a pupal (cocoon) process.
Cockroaches, Stick Insects, Praying Mantis, Earwigs, Crickets, Leaf hoppers, Cicidas, Grasshoppers, Whitefly... There's quite a list.

[diudiu]

cockroach