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Beliebt Rechnen >

derivative f(x)=(2x+3)^3

Lösung

ableitung von

f (x) = (2 x + 3)^{3}

Lösung

6 (2 x + 3)^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 3 (2 x + 3)^{2} \cdot 2

Vereinfache

= 6 (2 x + 3)^{2}

Graph

Beliebte Beispiele

derivative of 1+3x

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

integral of (x^2-2x+1)e^{2x}

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x \to π lim (2 cot (x))

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\int e^{t^{3}} d t

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\int 7 cos (4 x) d x