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Beliebt Rechnen >

(\partial)/(\partial x)(y^6-5xy)

Lösung

\frac{\partial}{\partial x} (y^{6} - 5 x y)

Lösung

- 5 y

Schritte zur Lösung

\frac{\partial}{\partial x} (y^{6} - 5 x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (y^{6}) - \frac{\partial}{\partial x} (5 x y)

\frac{\partial}{\partial x} (y^{6}) = 0

\frac{\partial}{\partial x} (5 x y) = 5 y

= 0 - 5 y

Vereinfache

= - 5 y

Beliebte Beispiele

integral of sqrt(1+x^2)

\int 1 + x^{2} d x

(\partial)/(\partial z)(1/(xyz^2))

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

(dy}{dx}=\frac{-xy^2)/2

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

limit as x approaches 2 of (x-2)(2^x-4)

x \to 2 lim ((x - 2) (2^{x} - 4))

derivative x^{3^x}

d er i v a t i v e x^{3^{x}}