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Beliebt Rechnen >

(\partial)/(\partial x)(4x^5-2y^{-3})

Lösung

\frac{\partial}{\partial x} (4 x^{5} - 2 y^{- 3})

Lösung

20 x^{4}

Schritte zur Lösung

\frac{\partial}{\partial x} (4 x^{5} - 2 y^{- 3})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 x^{5}) - \frac{\partial}{\partial x} (2 y^{- 3})

\frac{\partial}{\partial x} (4 x^{5}) = 20 x^{4}

\frac{\partial}{\partial x} (2 y^{- 3}) = 0

= 20 x^{4} - 0

Vereinfache

= 20 x^{4}

Beliebte Beispiele

derivative (9+2x-6sqrt(x))/x

d er i v a t i v e \frac{9 + 2 x - 6 x}{x}

y^{''}+y^'-2y=0

y^{^{''}} + y^{^{'}} - 2 y = 0

derivative of-x^4+50x^2-300

\frac{d}{d x} (- x^{4} + 50 x^{2} - 300)

integral from 2 to infinity of xe^{-5x}

\int_{2}^{\infty} x e^{- 5 x} d x

limit as x approaches 0+of tan(x^2)ln(x)

x \to 0 + lim (tan (x^{2}) ln (x))