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Beliebt Rechnen >

(\partial)/(\partial x)(x^{2y}+4y)

Lösung

\frac{\partial}{\partial x} (x^{2 y} + 4 y)

Lösung

2 y x^{2 y - 1}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2 y} + 4 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{2 y}) + \frac{\partial}{\partial x} (4 y)

\frac{\partial}{\partial x} (x^{2 y}) = 2 y x^{2 y - 1}

\frac{\partial}{\partial x} (4 y) = 0

= 2 y x^{2 y - 1} + 0

Vereinfache

= 2 y x^{2 y - 1}

Beliebte Beispiele

integral of (cot^2(x)+cot^4(x))

\int (cot^{2} (x) + cot^{4} (x)) d x

derivative of ln((x+2/(x-2)))

\frac{d}{d x} (ln (\frac{x + 2}{x - 2}))

tangent f(x)=sqrt(5x),\at x=5

t an g e n t f (x) = 5 x, at x = 5

integral of tan(5x)sec^2(5x)

\int tan (5 x) sec^{2} (5 x) d x

fläche x-2,sqrt(x),[0,4]

a re a x - 2, x, [0, 4]