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Beliebt Rechnen >

derivative of 3x^2-x^{3x}

Lösung

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

Lösung

6 x - 3 x^{3 x} (ln (x) + 1)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (x^{3 x}) = 3 x^{3 x} (ln (x) + 1)

= 6 x - 3 x^{3 x} (ln (x) + 1)

Graph

Beliebte Beispiele

(\partial)/(\partial x)((2x+8y)^3)

\frac{\partial}{\partial x} ((2 x + 8 y)^{3})

derivative of x^{-1}ln(x)

\frac{d}{d x} (x^{- 1} ln (x))

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derivative of (xy/(sqrt(xy)))

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

derivative of 6sin^2(x)

\frac{d}{d x} (6 sin^{2} (x))