(\partial)/(\partial x)(sqrt(14-x^2-4y))

Lösung

\frac{\partial}{\partial x} (14 - x^{2} - 4 y)

- \frac{x}{14 - x ^{2} - 4 y}

Schritte zur Lösung

\frac{\partial}{\partial x} (14 - x^{2} - 4 y)

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{2 14 - x ^{2} - 4 y} \frac{\partial}{\partial x} (14 - x^{2} - 4 y)

= \frac{1}{2 14 - x ^{2} - 4 y} \frac{\partial}{\partial x} (14 - x^{2} - 4 y)

\frac{\partial}{\partial x} (14 - x^{2} - 4 y) = - 2 x

= \frac{1}{2 14 - x ^{2} - 4 y} (- 2 x)

Vereinfache

\frac{1}{2 14 - x ^{2} - 4 y} (- 2 x) : - \frac{x}{14 - x ^{2} - 4 y}

= - \frac{x}{14 - x ^{2} - 4 y}

\frac{d}{d x} (4 x csc (x))

\frac{d}{d x} (\frac{- e ^{x} sin ( x )}{cos ( x )})

in v erse l a pl a ce \frac{s + 2}{( s + 3 ) ( s + 4 )}

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

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