a) $y'=(\dfrac{1}{2}x^5+\dfrac{2}{3}x^4-x^3-\dfrac{3}{2}x^2+4x-5)'$
$=\dfrac{5}{2}x^4+\dfrac{8}{3}x^3-3x^2-3x+4$
.
b) $y'=(\dfrac{1}{4}-\dfrac{1}{3}x+x^2-0,5x^4)'$
$=-\dfrac{1}{3}+2x-2x^3$
.
c) $y'=(\dfrac{x^4}{4}-\dfrac{x^3}{3}+\dfrac{x^2}{2}-x)'$
$=x^3-x^2+x$
.
d) $y'=(x^5-4x^3+2x-3\sqrt[]{x})'$
$=y=5x^4-12x^2+2 -\dfrac{3}{2\sqrt[]{x}}$
.
e) $y=(\dfrac{x}{a}+\dfrac{b}{x^2}+c\sqrt[]{x}+\dfrac{a^2}{2}-\sqrt[3]{b})'$
$=\dfrac{1}{a}-\dfrac{2xb}{x^4}+\dfrac{c}{2\sqrt[]{x}}$
