Question

Найдите производную функции:
f(x)=(3x-10)-⁵
f(x)=0,3 cosx
f(x)=1/2+tgx ​

Answer 1

Объяснение:

1.

$f(x) = {(3x - 10)}^{5}$

$f'(x) = 5 {(3x - 10)}^{4 } \times (3x - 10) '= \\ = 5 {(3x - 10)}^{4} \times 3 = \\ = 15 {(3x - 10)}^{5}$

2.

$f(x) = 0.3 \cos(x) \\ f'(x) = - 0.3 \sin(x)$

3.

$f(x) = \frac{1}{2} + tgx$

$f'(x) = \frac{1}{ {\cos }^{2} x}$