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Beliebt Rechnen >

(\partial)/(\partial y)(e^y*cos(x))

Lösung

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

Lösung

cos (x) e^{y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

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

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

Wende die allgemeine Ableitungsregel an:

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

= cos (x) e^{y}

Beliebte Beispiele

inverselaplace ((s+3))/(s^2+2s+1)

in v erse l a pl a ce \frac{( s + 3 )}{s ^{2} + 2 s + 1}

4y^{''}-16y^'+18y=0

4 y^{^{''}} - 16 y^{^{'}} + 18 y = 0

derivative of (25x^2-1/(x+3))

\frac{d}{d x} (\frac{25 x ^{2} - 1}{x + 3})

derivative of (x+2^3)

\frac{d}{d x} ((x + 2)^{3})

limit as z approaches 0 of z^3e^{1/z}

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