speaking vs speech

speaking and speech both are nouns.

Word	Noun	Adjective	Verb	Adverb
speaking	Yes	Yes	No	No
speech	Yes	No	No	No

As nouns, speech is a hypernym of speaking; that is, speech is a word with a broader meaning than speaking:

Other hypernyms of speaking include address.

As nouns, speech is a hyponym of speaking; that is, speech is a word with a more specific, narrower meaning than speaking:

Other hyponyms of speaking include susurration, voicelessness, whisper, whispering, voicelessness.

speaking (noun)	speech (noun)
delivering an address to a public audience	the mental faculty or power of vocal communication
the utterance of intelligible speech	(language) communication by word of mouth
	the act of delivering a formal spoken communication to an audience
	words making up the dialogue of a play
	a lengthy rebuke
	the exchange of spoken words
	your characteristic style or manner of expressing yourself orally
	something spoken

speaking (adjective)	speech (adjective)
capable of or involving speech or speaking
capable of speech