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Beliebt Rechnen >

derivative t^3sin(t)

Lösung

ableitung von

t^{3} sin (t)

Lösung

3 t^{2} sin (t) + cos (t) t^{3}

Schritte zur Lösung

\frac{d}{d t} (t^{3} sin (t))

Wende die Produktregel an:

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

f = t^{3}, g = sin (t)

= \frac{d}{d t} (t^{3}) sin (t) + \frac{d}{d t} (sin (t)) t^{3}

\frac{d}{d t} (t^{3}) = 3 t^{2}

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

= 3 t^{2} sin (t) + cos (t) t^{3}

Graph

Beliebte Beispiele

derivative f(x)=4t^{-1/8}

d er i v a t i v e f (x) = 4 t^{- \frac{1}{8}}

integral of (sin(x))/(x^3)

\int \frac{sin ( x )}{x ^{3}} d x

derivative f(x)=cos(cos(cos(x)))

d er i v a t i v e f (x) = cos (cos (cos (x)))

sum from n=1 to infinity of 6/((n+1)!)

n = 1 \sum \infty \frac{6}{( n + 1 ) !}

y^{''}=a(y^')^2+b

y^{^{''}} = a (y^{^{'}})^{2} + b