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

Lösung

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

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

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{2 x ^{2} - y} \cdot 2 x : \frac{x}{x ^{2} - y}

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

d er i v a t i v e f (x) = x^{3} arcsin (x^{2} e^{x})

in v erse l a pl a ce \frac{s - 2}{s ^{2} + 5 s + 6}

d er i v a t i v e \frac{x ^{3}}{4} + \frac{1}{3 x}

\frac{\partial}{\partial t} (3 t)

\frac{d v}{d t} = - 2 v - 32