T11
Vypočítejte derivaci 2. řádu funkcí:
145.
\( f(x) = x \sqrt{1 + x^2} \) x sqrt(1 + x^2) , derivative x sqrt(1 + x^2) , second derivative x sqrt(1 + x^2)
146.
\( f (x) = \frac{x}{\sqrt{1 + x^2}} \) (1 + x) arctg x , derivative (1 + x) arctg x , second derivative (1 + x) arctg x
147.
\( f (x) = e^{x^2} \) e^(x^2) , derivative e^(x^2) , second derivative e^(x^2)
148.
\( f (x) = \tan x \) tg x, derivative tg x, second derivative tg x
149.
\( f (x) = ( 1 + x^2 ) \arctan x \) second derivative (1 + x^2) arctg x
150.
\( f (x) = x \ln x \) x ln x , derivative x ln x , second derivative x ln x
151.
\( f (x) = \ln \phi(x) \) second derivative ln phi(x)
152.
\( f (x) = x(\sin \ln x + \cos \ln x) \) x (sin ln x + cos ln x) , derivative x (sin ln x + cos ln x) , second derivative x (sin ln x + cos ln x)
