derivative of 4x-x^3

Lösung

\frac{d}{d x} (4 x - x^{3})

4 - 3 x^{2}

Schritte zur Lösung

\frac{d}{d x} (4 x - x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (4 x) = 4

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

= 4 - 3 x^{2}

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

\int \frac{1}{sin ^{4} ( x ) cos ^{2} ( x )} d x

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\frac{d}{d x} (x (x^{2} + 3)^{\frac{1}{2}})

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