Алгебра производная

1.
$y'(x)= \frac{1}{3 \sqrt[3]{x^2} }+ \frac{1}{2 \sqrt{x} } +2$

2.
$y'(x)=\frac{cos \sqrt{x} }{2sin \sqrt{x} }* \frac{1}{2 \sqrt{x} } = \frac{ctg \sqrt{x} }{4 \sqrt{x} }$

3.
y'(x)=3cos(3x+п/3)

4.
$h'(x)=2xtgx+ \frac{x^2}{cos^2x}= \frac{2xsinx}{cosx}+ \frac{x^2}{cos^2x}= \frac{2xsinxcosx+x^2}{cos^2x}= \frac{x^2+xsin2x}{cos^2x}$

5.
$y'(x)= \frac{ \frac{x+1}{2 \sqrt{x} }- \sqrt{x} }{(x+1)^2}= \frac{ \frac{x+1-2x}{2 \sqrt{x} } }{(x+1)^2}= \frac{1-x}{2 \sqrt{x} (x+1)^2} \\ \\ y'(2)= \frac{1-2}{2 \sqrt{2}(2+1)^2 }=- \frac{1}{18 \sqrt{2} }=- \frac{ \sqrt{2} }{36}$