The title of Psalm 57; 58; 59; 75: The maxim of David amidst persecutions, embodying the spirit of his psalm (Kimchi); drawn from Deu_9:26, Moses' prayer, "Destroy not Thy people and Thine inheritance, whom Thou hast redeemed." He used the same "destroy not" in 1Sa_26:9, to Abishai, who urged him to slay Saul when in his power. We can say "destroy not" to God only when we ourselves beat' no malice to our enemies. Aben Ezra less probably explains "some song named so, to the tune of which the psalm was to be chanted."
Fausset's Bible Dictionary
By Andrew Robert Fausset, co-Author of Jamieson, Fausset and Brown's 1888.
Al-taschith. (destroy not). Found in the introductory verse to Psalms 57; Psalms 58; Psalms 59; Psalms 75. It was probably the beginning of some song or poem to the tune of which those psalms were to be chanted.
Smith's Bible Dictionary
By Dr. William Smith.Published in 1863