Question

Найти производную функцию
1) f(x)=(6x+3)^9;
2) y=√4-x^2

Answer 1

$1) f(x)=(6x+3)^9 \\ f'(x) = 9(6x+3)^8 \times (6x + 3)' = \\ =54(6x+3)^8$

$2)y = \sqrt{4-x^2} \\y '= \frac{1}{2\sqrt{4-x^2} } \times (4 - {x}^{2} )' = \\ = \frac{ - 2x}{2\sqrt{4-x^2} } = - \frac{ x}{\sqrt{4-x^2} }$