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Beliebt Rechnen >

(\partial)/(\partial x)(e-4tcos(pix))

Lösung

\frac{\partial}{\partial x} (e - 4 t cos (π x))

Lösung

4 π t sin (π x)

Schritte zur Lösung

\frac{\partial}{\partial x} (e - 4 t cos (π x))

Behandle

t

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (e) - \frac{\partial}{\partial x} (4 t cos (π x))

\frac{\partial}{\partial x} (e) = 0

\frac{\partial}{\partial x} (4 t cos (π x)) = - 4 π t sin (π x)

= 0 - (- 4 π t sin (π x))

Vereinfache

= 4 π t sin (π x)

Beliebte Beispiele

integral of-cos(x)sin^2(x)

\int - cos (x) sin^{2} (x) d x

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n = 2 \sum \infty \frac{5}{4 ^{n}}

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\int_{4}^{10} 6 d x

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\int k e^{- k^{2}}

derivative of 10+((50x/(2x^2+9)))

\frac{d}{d x} (10 + (\frac{50 x}{2 x ^{2} + 9}))