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Beliebt Rechnen >

(\partial)/(\partial y)(z^2e^{xy})

Lösung

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

Lösung

z^{2} e^{x y} x

Schritte zur Lösung

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

Behandle

z, x

als Konstanten

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

= z^{2} e^{x y} x

Beliebte Beispiele

y^{''}+16y^'+65y=0

y^{^{''}} + 16 y^{^{'}} + 65 y = 0

derivative of x^2-25ln(x^2)

\frac{d}{d x} (x^{2} - 25 ln (x^{2}))

derivative f(x)= x/(x^2-6)

d er i v a t i v e f (x) = \frac{x}{x ^{2} - 6}

integral from-3 to 0 of-x^2-3x

\int_{- 3}^{0} - x^{2} - 3 x d x

integral of coth(x)

\int coth (x) d x