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Beliebt Rechnen >

(\partial)/(\partial x)(e^{8x}cos(5y))

Lösung

\frac{\partial}{\partial x} (e^{8 x} cos (5 y))

Lösung

cos (5 y) e^{8 x} \cdot 8

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{8 x} cos (5 y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= cos (5 y) \frac{\partial}{\partial x} (e^{8 x})

Wende die Kettenregel an:

e^{8 x} \frac{\partial}{\partial x} (8 x)

= e^{8 x} \frac{\partial}{\partial x} (8 x)

\frac{\partial}{\partial x} (8 x) = 8

= cos (5 y) e^{8 x} \cdot 8

Beliebte Beispiele

derivative of 5csc(x)

\frac{d}{d x} (5 csc (x))

limit as x approaches a of x^2

x \to a lim (x^{2})

integral of 1/(t^2)sin(8/t+3)

\int \frac{1}{t ^{2}} sin (\frac{8}{t} + 3) d t

inverselaplace 3+1/s

in v erse l a pl a ce 3 + \frac{1}{s}

integral from o to 1 of 42x(1-x)^5

\int_{o}^{1} 42 x (1 - x)^{5} d x