(\partial)/(\partial y)(sqrt(x-y^2))

Lösung

\frac{\partial}{\partial y} (x - y^{2})

- \frac{y}{x - y ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial y} (x - y^{2})

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{2 x - y ^{2}} \frac{\partial}{\partial y} (x - y^{2})

= \frac{1}{2 x - y ^{2}} \frac{\partial}{\partial y} (x - y^{2})

\frac{\partial}{\partial y} (x - y^{2}) = - 2 y

= \frac{1}{2 x - y ^{2}} (- 2 y)

Vereinfache

\frac{1}{2 x - y ^{2}} (- 2 y) : - \frac{y}{x - y ^{2}}

= - \frac{y}{x - y ^{2}}

x \to 0 lim (\frac{6 x ^{2}}{x ^{2}})

\frac{\partial}{\partial x} (e^{- x^{5} - y^{3}})

y + 2 y^{^{'}} + 5 y = 4 \cdot e^{- t} \cdot cos (2 t)

d er i v a t i v e \frac{x - 2}{x - 2}

u \to 2 + lim (u^{2})