# Wyznaczyć pochodne podanych funkcji.
## 1
$y=(3-x^{4})^{2}$
$y'=2(3-x^{4})\cdot(-4x^{3})=(6-2x^{4})\cdot(-4x^{3})=-24x^{3}+8x^{7}$
## 2
$y=1-\frac{4}{x^6}+\frac{3}{x^7}$
$y'=-4\cdot-6x^{-7}+3\cdot-7x^{-8}=\frac{24}{x^{7}}-\frac{21}{x^{8}}$
## 3
$y=\cfrac{x^{2}+4}{x}$
$y'=\cfrac{1}{x^{2}}\cdot\left(2x^{2}-(x^{2}+4)\right)=\cfrac{x^{2}-4}{x^{2}}=1-\cfrac{4}{x^2}$
## 4 
$y=\cfrac{x-3}{x^{2}}$
$y'=\cfrac{1}{x^{4}}\cdot\left(x^{2}-2x^{2}+6x\right)=\cfrac{6x-x^{2}}{x^{4}}=\cfrac{6-x}{x^3}$
## 5
$y$
## 7
$y=\cfrac{x^{5}+x^{3}+x}{\sqrt{x}}$
$y'=\cfrac{1}{x}\left((x^{5}+x^{3}+x)\cdot\frac{1}{2\sqrt{x}}-(5x^{4}+3x^2+1)\cdot\sqrt{x}\right)$