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Beliebt Rechnen >

d/(dt)(cos(t)+sin(t))

Lösung

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

Lösung

- sin (t) + cos (t)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - sin (t) + cos (t)

Graph

Beliebte Beispiele

y^{^{'}} + 2 y = 2 x

(\partial)/(\partial x)((x^2)/((x+y)^2))

\frac{\partial}{\partial x} (\frac{x ^{2}}{( x + y ) ^{2}})

vereinfachen sqrt(xy)

s im pl i f y x y

derivative (-2x-y)/(x+2y)

d er i v a t i v e \frac{- 2 x - y}{x + 2 y}

(d^4)/(dx^4)(sin(x^2))

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