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Beliebt Rechnen >

(\partial)/(\partial x)(4y+9x^2)

Lösung

\frac{\partial}{\partial x} (4 y + 9 x^{2})

Lösung

18 x

Schritte zur Lösung

\frac{\partial}{\partial x} (4 y + 9 x^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 y) + \frac{\partial}{\partial x} (9 x^{2})

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

\frac{\partial}{\partial x} (9 x^{2}) = 18 x

= 0 + 18 x

Vereinfache

= 18 x

Beliebte Beispiele

derivative of x^{(1/2})

\frac{d}{d x} (x^{(\frac{1}{2})})

maclaurin 1/((1-x^2))

ma c l a u r in \frac{1}{( 1 - x ^{2} )}

limit as x approaches 0 of ((ln(x))^2)/x

x \to 0 lim (\frac{( ln ( x ) ) ^{2}}{x})

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

(\partial)/(\partial v)(3u)

\frac{\partial}{\partial v} (3 u)