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Beliebt Rechnen >

derivative y=x^2sin(x)

Lösung

ableitung von

y = x^{2} sin (x)

Lösung

2 x sin (x) + cos (x) x^{2}

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = sin (x)

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

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

\frac{d}{d x} (sin (x)) = cos (x)

= 2 x sin (x) + cos (x) x^{2}

Graph

Beliebte Beispiele

(x^{8})^{^{'}}

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n = 1 \sum \infty 3 n

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\int x csc (x) cot (x) d x