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Beliebt Rechnen >

(\partial)/(\partial x)(y^2-3x^3)

Lösung

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

Lösung

- 9 x^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (y^{2}) = 0

\frac{\partial}{\partial x} (3 x^{3}) = 9 x^{2}

= 0 - 9 x^{2}

Vereinfache

= - 9 x^{2}

Beliebte Beispiele

derivative f(x)=-5x

d er i v a t i v e f (x) = - 5 x

y^{'''}-7y^'+6y=e^{3x}

y^{^{'''}} - 7 y^{^{'}} + 6 y = e^{3 x}

derivative of 1-sqrt(x^2+y^2)

\frac{d}{d x} (1 - x^{2} + y^{2})

integral of (x+1)/(3x+2)

\int \frac{x + 1}{3 x + 2} d x

integral from-3 to 1 of x

\int_{- 3}^{1} x d x