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Beliebt Rechnen >

derivative of x^2*tan(x)

Lösung

\frac{d}{d x} (x^{2} \cdot tan (x))

Lösung

2 x tan (x) + sec^{2} (x) x^{2}

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

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

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

= 2 x tan (x) + sec^{2} (x) x^{2}

Graph

Beliebte Beispiele

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x \to 7 lim (\frac{\frac{1}{x} - \frac{1}{7}}{x - 7})

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\int sin^{2} (\frac{π x}{2}) d x

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