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Beliebt Rechnen >

(\partial)/(\partial y)(x^3y+e^x)

Lösung

\frac{\partial}{\partial y} (x^{3} y + e^{x})

Lösung

x^{3}

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{3} y + e^{x})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{3} y) + \frac{\partial}{\partial y} (e^{x})

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

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

= x^{3} + 0

Vereinfache

= x^{3}

Beliebte Beispiele

x^{^{'}} = x^{\frac{4}{5}}

integral from 0 to 1 of x^1e^{-x^2}

\int_{0}^{1} x^{1} e^{- x^{2}} d x

derivative of 2x^7-x^5+5x^3-8x+4

\frac{d}{d x} (2 x^{7} - x^{5} + 5 x^{3} - 8 x + 4)

derivative of ((5x+3)/(3e^x))

\frac{d}{d x} (\frac{( 5 x + 3 )}{3 e ^{x}})

integral of sin(x)sec^5(x)

\int sin (x) sec^{5} (x) d x