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Beliebt Rechnen >

(\partial)/(\partial x)((xy+1)^2)

Lösung

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

Lösung

2 (x y + 1) y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (x y + 1) = y

= 2 (x y + 1) y

Beliebte Beispiele

derivative of e^{cot(x^2})

\frac{d}{d x} (e^{c o t (x^{2})})

(dy)/(dx)=(4xy)/(2+x^2)

\frac{d y}{d x} = \frac{4 x y}{2 + x ^{2}}

maclaurin (1+x)^{-4/5}

ma c l a u r in (1 + x)^{- \frac{4}{5}}

(\partial)/(\partial y)(e^{-y/x})

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

(\partial)/(\partial y)(x^{-2}y^{-3})

\frac{\partial}{\partial y} (x^{- 2} y^{- 3})