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Beliebt Rechnen >

derivative sin(t)-sin(t)cos(t)-5t

Lösung

ableitung von

sin (t) - sin (t) cos (t) - 5 t

Lösung

cos (t) - cos (2 t) - 5

Schritte zur Lösung

\frac{d}{d t} (sin (t) - sin (t) cos (t) - 5 t)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (sin (t)) - \frac{d}{d t} (sin (t) cos (t)) - \frac{d}{d t} (5 t)

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

\frac{d}{d t} (sin (t) cos (t)) = cos (2 t)

\frac{d}{d t} (5 t) = 5

= cos (t) - cos (2 t) - 5

Graph

Beliebte Beispiele

derivative f(t)=-(50)/(t^3)+5/(t^2)

d er i v a t i v e f (t) = - \frac{50}{t ^{3}} + \frac{5}{t ^{2}}

integral of etan(x)

\int e tan (x) d x

(d^2)/(dx^2)(cos^2(t))

\frac{d ^{2}}{d x ^{2}} (cos^{2} (t))

integral of (sin(2x))/(cos^2(2x)+5)

\int \frac{sin ( 2 x )}{cos ^{2} ( 2 x ) + 5} d x

limit as x approaches 1 of 4x

x \to 1 lim (4 x)