======T8======
Vypočítejte derivace funkcí y = f (x) daných implicitně:

======130.======
\( x^2 + 2xy − y^2 = 2x, y < x \) Vypočítejte \( f'(2) \).

[[wa>derivative  x^2 + 2xy − y^2 = 2x]]

======131.======
\( y^2 = 2px , y > 0 \)
[[wa>derivative y^2 = 2px , y > 0 ]]

======133.======
DELETEME \( \sqrt{x} + \sqrt{y} = \sqrt{a} , y > 0 \)
[[wa>derivative  sqrt(x) + sqrt(y) = sqrt(a) ]]

======132.======
\( \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1, y>0 \)
[[wa> derivative x^2/a^2 + y^2/b^2 = 1, y>0 ]]

======134.======
DELETEME \( x^{2/3} + y^{2/3} = a^{\frac{2}{3}} , y > 0 \)
[[wa>derivative x^(2/3) + y^(2/3) = a^(2/3) ]]

======135.======
DELETEME \( \arctan \frac{y}{x} = \ln \sqrt{x^2 + y^2}, y<x \)
[[wa> aan y/x = ln sqrt(x^2 + y^2), y<x ]]

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