======T14======
Najděte intervaly, na kterých je funkce rostoucí, resp. klesající:
=====161.=====
\( f(x) = 2 + x − x^2 \)
[[wa> plot f(x) = 2 + x − x^2 ]]

=====164.=====
\( f(x) = \frac{\sqrt{x}}{x + 100} \)
[[wa> sqrt x / ( x + 100) ]]

=====162.=====
\( f(x) = 3x − x^3 \)
[[wa> plot f(x) = 3x − x^3 ]]

=====163.=====
\( f(x) = \frac{2x}{1 + x^2} \)
[[wa> f(x) = 2x / (1 + x^2) ]]

=====165.=====
\( f(x) = x + \sin x \)
[[wa> f (x) = x + sin x ]]

=====166.=====
\( f(x) = x + |sin 2x| \)
[[wa> f(x) = x + |sin 2x| ]]
[[wa

=====167.=====
\( f(x) = \cos \frac{\pi}{x} \)
[[wa> f(x) = cos pi/x ]]

=====169.=====
\( f(x) = x^n e^−x , n > 0, x \gt 0 \)
[[wa> f(x) = x^n e^−x , n > 0, x >= 0 ]]

=====170.=====
\( f(x) = x^2 − \ln x^2 \)
[[wa> f(x) = x^2 − ln x^2 ]]

=====168.=====
\( f(x) = \frac{x^2}{2^x} \)
[[wa> f(x) = x^2 / 2^x ]]