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Beliebt Rechnen >

derivative x^2(sin(x))

Lösung

ableitung von

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

(dy)/(dx)=y*(1/x-y)

\frac{d y}{d x} = y \cdot (\frac{1}{x} - y)

(\partial)/(\partial u)(sqrt(v/u))

\frac{\partial}{\partial u} (\frac{v}{u})

derivative of ln(sqrt((9-x/(5+x))))

\frac{d}{d x} (ln (\frac{9 - x}{5 + x}))

derivative-9x^2

d er i v a t i v e - 9 x^{2}

derivative of arccos(cos(x))

\frac{d}{d x} (arccos (cos (x)))