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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Beliebte Beispiele

limit as x approaches 0 of 3^x

x \to 0 lim (3^{x})

integral of x^3sqrt(7+x^4)

\int x^{3} 7 + x^{4} d x

fläche x^6,x^7

a re a x^{6}, x^{7}

y^{''}-2y^'+y=e^{2x}

y^{^{''}} - 2 y^{^{'}} + y = e^{2 x}

integral from 0 to ln(19) of xe^x

\int_{0}^{l n (19)} x e^{x} d x