Найдите производную функцию г) g (t) = (7t+3) ^5 - (7t-4) ^9/3 д) f (l) = (2l+1) ^4 * (2l-1) ^3 е) f (x) = a (x/a+b) ^5

Вычислим производные функций:

г) g ' (t) = ((7 * t + 3) ^5 - (7 * t - 4) ^9/3) ' = 5 * (7 * t + 3) ^4 * (7 * t + 3) ' - 1/3 * 9 * (7 * t - 4) ^8 * (7 * t - 4) ' = 5 * (7 * t + 3) ^4 * 7 * 1 - 3 * (7 * t - 4) ^8 * 7 * 1 = 35 * (7 * t + 3) ^4 - 21 * (7 * t - 4) ^8.

д) f ' (l) = ((2 * l + 1) ^4 * (2 * l - 1) ^3) ' = 4 * (2 * l + 1) ^3 * 2 * (2 * l - 1) ^3 + 3 * (2 * l - 1) ^2 * 2 * (2 * l + 1) ^4 = 8 * (2 * l + 1) ^3 * (2 * l - 1) ^3 + 6 * (2 * l - 1) ^2 * (2 * l + 1) ^4;

е) f (x) = a * (x/a + b) ^5 = a * 5 * (x/a + b) ^4 * (x/a + b) ' = 5 * a * (x/a + b) ^4 * 1/a = 5 * (x/a + b) ^4.