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Beliebt Rechnen >

(\partial)/(\partial x)(t^2+4x^3)

Lösung

\frac{\partial}{\partial x} (t^{2} + 4 x^{3})

Lösung

12 x^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (t^{2} + 4 x^{3})

Behandle

t

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (t^{2}) + \frac{\partial}{\partial x} (4 x^{3})

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

\frac{\partial}{\partial x} (4 x^{3}) = 12 x^{2}

= 0 + 12 x^{2}

Vereinfache

= 12 x^{2}

Beliebte Beispiele

integral of-1/3 cos(3x)

\int - \frac{1}{3} cos (3 x) d x

integral of (2x^2)/(3-4x^3)

\int \frac{2 x ^{2}}{3 - 4 x ^{3}} d x

d er i v a t i v e - 2

derivative of arctan(xy)

\frac{d}{d x} (arctan (x y))

integral of ((3x-2))/(5x^2-3x+2)

\int \frac{( 3 x - 2 )}{5 x ^{2} - 3 x + 2} d x