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Beliebt Rechnen >

(\partial)/(\partial y)(xe^{2y}sin(7z))

Lösung

\frac{\partial}{\partial y} (x e^{2 y} sin (7 z))

Lösung

x sin (7 z) e^{2 y} \cdot 2

Schritte zur Lösung

\frac{\partial}{\partial y} (x e^{2 y} sin (7 z))

Behandle

x, z

als Konstanten

Entferne die Konstante:

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

= x sin (7 z) \frac{\partial}{\partial y} (e^{2 y})

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial y} (2 y) = 2

= x sin (7 z) e^{2 y} \cdot 2

Beliebte Beispiele

integral from-8 to 64 of 1/(\sqrt[3]{x)}

\int_{- 8}^{64} \frac{1}{3 x} d x

derivative 24x-0.01x^2

d er i v a t i v e 24 x - 0.01 x^{2}

y^{''}+121y=sec(11x)

y^{^{''}} + 121 y = sec (11 x)

limit as x approaches 0-of (1-e^{-3x})/x

x \to 0 - lim (\frac{1 - e ^{- 3 x}}{x})

derivative of (e^x/(7x^2+8))

\frac{d}{d x} (\frac{e ^{x}}{7 x ^{2} + 8})