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Beliebt Rechnen >

(\partial)/(\partial x)((x+3y)^3)

Lösung

\frac{\partial}{\partial x} ((x + 3 y)^{3})

Lösung

3 (x + 3 y)^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} ((x + 3 y)^{3})

Behandle

y

als Konstante

Wende die Kettenregel an:

3 (x + 3 y)^{2} \frac{\partial}{\partial x} (x + 3 y)

= 3 (x + 3 y)^{2} \frac{\partial}{\partial x} (x + 3 y)

\frac{\partial}{\partial x} (x + 3 y) = 1

= 3 (x + 3 y)^{2} \cdot 1

Vereinfache

= 3 (x + 3 y)^{2}

Beliebte Beispiele

derivative (a+b/(x^2))^3

d er i v a t i v e (a + \frac{b}{x ^{2}})^{3}

f(x)=e^{4x}+4e^{4x}x

f (x) = e^{4 x} + 4 e^{4 x} x

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x \to \infty lim (\frac{ln ^{3} ( x )}{100 3 x})

integral of 12xe^{-3x}

\int 12 x e^{- 3 x} d x

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\frac{d}{d x} (x co x (x))