(\partial)/(\partial y)(sqrt(4-x^2-2y))

Lösung

\frac{\partial}{\partial y} (4 - x^{2} - 2 y)

- \frac{1}{4 - x ^{2} - 2 y}

Schritte zur Lösung

\frac{\partial}{\partial y} (4 - x^{2} - 2 y)

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{2 4 - x ^{2} - 2 y} \frac{\partial}{\partial y} (4 - x^{2} - 2 y)

= \frac{1}{2 4 - x ^{2} - 2 y} \frac{\partial}{\partial y} (4 - x^{2} - 2 y)

\frac{\partial}{\partial y} (4 - x^{2} - 2 y) = - 2

= \frac{1}{2 4 - x ^{2} - 2 y} (- 2)

Vereinfache

\frac{1}{2 4 - x ^{2} - 2 y} (- 2) : - \frac{1}{4 - x ^{2} - 2 y}

= - \frac{1}{4 - x ^{2} - 2 y}

d er i v a t i v e 3 cos (x)

t an g e n t \frac{1}{2 - 3 x}, at x = 1

(cosh (t))^{^{'}}

d er i v a t i v e \frac{x}{9 + x ^{2}}

\frac{d y}{d x} = - \frac{1}{x + 2}