F (x) = (3 * x - 2)^5;
Вычислим производную.
f '(x) = ((3 * x - 2)^5) ' = 5 * (3 * x - 2)^4 * (3 * x - 2) ' = 5 * (3 * x - 2)^4 * 3 = 15 * (3 * x - 2)^4;
f ’ (1) = 15 * (3 * 1 - 2)^4 = 15 * (3 - 2)^4 = 15 * 1 = 15.
f ' (1) = 15.
F (x) = (3 * x - 2)^5;
Вычислим производную.
f '(x) = ((3 * x - 2)^5) ' = 5 * (3 * x - 2)^4 * (3 * x - 2) ' = 5 * (3 * x - 2)^4 * 3 = 15 * (3 * x - 2)^4;
f ’ (1) = 15 * (3 * 1 - 2)^4 = 15 * (3 - 2)^4 = 15 * 1 = 15.
f ' (1) = 15.