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Beliebt Rechnen >

(\partial)/(\partial x)(e^{2x}cos(8y))

Lösung

\frac{\partial}{\partial x} (e^{2 x} cos (8 y))

Lösung

cos (8 y) e^{2 x} \cdot 2

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{2 x} cos (8 y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= cos (8 y) \frac{\partial}{\partial x} (e^{2 x})

Wende die Kettenregel an:

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

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

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

= cos (8 y) e^{2 x} \cdot 2

Beliebte Beispiele

(1/(x(ln(x))^2))^'

(\frac{1}{x ( ln ( x ) ) ^{2}})^{^{'}}

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derivative of (x+1^3)

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

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

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\int \frac{- 4}{x ^{2}} d x