Question

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

Answer 1

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

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