Question

Найдите производную функции
)$sqrt{x}$*(2x+3)

Answer 1

$frac{d}{dx}left(sqrt{x}left(2x+3right)right)=\\=frac{d}{dx}left(sqrt{x}right)left(2x+3right)+frac{d}{dx}left(2x+3right)sqrt{x}=\\=frac{1}{2sqrt{x}}left(2x+3right)+2sqrt{x}=\\=frac{2x+3}{2sqrt{x}}+frac{2sqrt{x}cdot :2sqrt{x}}{2sqrt{x}}=\\=frac{6x+3}{2sqrt{x}}$