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Beliebt Rechnen >

derivative of x^2sin(x)

Lösung

\frac{d}{d x} (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

derivative of e^{ktan(sqrt(7x)})

\frac{d}{d x} (e^{k t a n (7 x)})

tangent 5-x-x^2

t an g e n t 5 - x - x^{2}

integral of (5x)/(x(x-1))

\int \frac{5 x}{x ( x - 1 )} d x

integral of 11ln(x)

\int 11 ln (x) d x

inverselaplace 2/((s+2)^2)

in v erse l a pl a ce \frac{2}{( s + 2 ) ^{2}}