Задача 65556 ...

5f42a255b5ac0b3cc606fbf7

09.09.2022 08:29:18

Найдите производную функции y = f(x)

2. 1) f(x) = x^(1.4);
2) f(x) = x^(-3.5);
3) f(x) = x^π;
4) f(x) = x^-π.

5f3ea7e3faf909182968ddd9

09.09.2022 14:01:01

★

По формуле:

[r](x^( α))`= α x^( α -1)[/r]


1)

(x^(1,4))`=1,4*x^(1,4-1)

(x^(1,4))`=1,4*x^(0,4)

2)

x^(-3,5))`=-3,5*x^(-3,5-1)

(x^(-3,5))`=-3,5*x^(-4,5)

3)
(x^(π))`=π*x^(π-1)


4)
x^(-π))`=-π*x^(-π-1)