НАЙДИТЕ ПРОИЗВОДНУЮ ФУНКЦИИ 1) y=x^2*tg*x 2) y= 3x+√x+3x^2 , x=1 3) y=2x-1/x^2 4) y=...

1)) $y' = (x^2*tgx)' = (x^2)'*tgx + x^2*(tgx)' = 2x*tgx + \frac{x^2}{cos^2x}$

2)) $y' = (3x+ \sqrt{x} +3x^2)' = (3x)' +( \sqrt{x})' +(3x^2)' =$

$= 3 + \frac{1}{2\sqrt{x}} + 6x$

3)) $y' = (2x-1/x^2)' = (2x)' + (-1/x^2)' = 2 + 2/x^3$

4)) $y' = ( \sqrt{x} *ctgx)' = ( \sqrt{x})' *ctgx + \sqrt{x} *(ctgx)' = \frac{ctgx}{2 \sqrt{x}} - \frac{ \sqrt{x}}{sin^2x}$