======T11======
Vypočítejte derivaci 2. řádu funkcí:

=====145.=====
\( f(x) = x \sqrt{1 + x^2} \)
[[wa> x sqrt(1 + x^2) , derivative x sqrt(1 + x^2) , second derivative x sqrt(1 + x^2) ]]

=====146.=====
\( f (x) = \frac{x}{\sqrt{1 + x^2}} \)
[[wa> (1 + x) arctg x , derivative (1 + x) arctg x , second derivative (1 + x) arctg x]]

=====147.=====
\( f (x) = e^{x^2} \)
[[wa>e^(x^2) , derivative e^(x^2) , second derivative e^(x^2) ]]

=====148.=====
\( f (x) = \tan x \)
[[wa>tg x, derivative tg x, second derivative tg x ]]

=====149.=====
\( f (x) = ( 1 + x^2 ) \arctan x \)
[[wa>second derivative (1 + x^2) arctg x]]

=====150.=====
\( f (x) = x \ln x \)
[[wa> x ln x , derivative x ln x , second derivative x ln x ]]

=====151.=====
\( f (x) = \ln \phi(x) \)
[[wa>second derivative ln phi(x) ]]

=====152.=====
\( f (x) = x(\sin \ln x + \cos \ln x) \)
[[wa>x (sin ln x + cos ln x) , derivative x (sin ln x + cos ln x) , second derivative x (sin ln x + cos ln x)]]