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Beliebt Rechnen >

derivative tsin(t)

Lösung

ableitung von

t sin (t)

Lösung

sin (t) + t cos (t)

Schritte zur Lösung

\frac{d}{d t} (t sin (t))

Wende die Produktregel an:

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

f = t, g = sin (t)

= \frac{d t}{d t} sin (t) + \frac{d}{d t} (sin (t)) t

\frac{d t}{d t} = 1

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

= 1 \cdot sin (t) + cos (t) t

Vereinfache

= sin (t) + t cos (t)

Graph

Beliebte Beispiele

derivative of 2/((3x^2+7^2))

\frac{d}{d x} (\frac{2}{( 3 x ^{2} + 7 ) ^{2}})

(\partial)/(\partial x)(e^{xy}sin(z))

\frac{\partial}{\partial x} (e^{x y} sin (z))

derivative of 4x^{2x}

\frac{d}{d x} (4 x^{2 x})

integral from 1 to 2 of (x^2+1)

\int_{1}^{2} (x^{2} + 1) d x

integral of (2x)/((1+x)^2)

\int \frac{2 x}{( 1 + x ) ^{2}} d x