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Beliebt Rechnen >

(\partial)/(\partial x)(A^2x^2+B^2y^2)

Lösung

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

Lösung

2 A^{2} x

Schritte zur Lösung

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

Behandle

A, B, y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (A^{2} x^{2}) + \frac{\partial}{\partial x} (B^{2} y^{2})

\frac{\partial}{\partial x} (A^{2} x^{2}) = 2 A^{2} x

\frac{\partial}{\partial x} (B^{2} y^{2}) = 0

= 2 A^{2} x + 0

Vereinfache

= 2 A^{2} x

Beliebte Beispiele

(sin^{3} (t))^{^{'}}

steigung xy-6y^2=4,(14,2)

s l o p e x y - 6 y^{2} = 4, (14, 2)

derivative of x(x+4^2)

\frac{d}{d x} (x (x + 4)^{2})

integral of (x-5)/x

\int \frac{x - 5}{x} d x

integral from 1 to 3 of 2x+1

\int_{1}^{3} 2 x + 1 d x