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Beliebt Rechnen >

(\partial)/(\partial s)(t+3t^3sin(s))

Lösung

\frac{\partial}{\partial s} (t + 3 t^{3} sin (s))

Lösung

3 t^{3} cos (s)

Schritte zur Lösung

\frac{\partial}{\partial s} (t + 3 t^{3} sin (s))

Behandle

t

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial s} (t) = 0

\frac{\partial}{\partial s} (3 t^{3} sin (s)) = 3 t^{3} cos (s)

= 0 + 3 t^{3} cos (s)

Vereinfache

= 3 t^{3} cos (s)

Beliebte Beispiele

fläche y=e^{3x},y=e^{6x},x=1

a re a y = e^{3 x}, y = e^{6 x}, x = 1

y^{^{'}} = e^{9 x} - 4 x

integral of e^{-2x^2}*(-4)x^3

\int e^{- 2 x^{2}} \cdot (- 4) x^{3} d x

sum from n=1 to infinity of (1+3/n)^n

n = 1 \sum \infty (1 + \frac{3}{n})^{n}

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

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