Question

g(x)=(x-1)(корень) x. Найти g`(4)

Answer 1

$g`(x) = (x-1)`sqrt{x}+(x-1)(sqrt{x})` = 1cdot sqrt{x}+frac{x-1}{2sqrt{x}}=$$frac{2x+x-1}{2sqrt{x}}=frac{3x-1}{2sqrt{x}}$
$g`(x) = frac{3cdot4-1}{2cdot sqrt{4}} = frac{11}{4}$