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Beliebt Rechnen >

derivative of-xsin(x-cos(x))

Lösung

\frac{d}{d x} (- x sin (x) - cos (x))

Lösung

- x cos (x)

Schritte zur Lösung

\frac{d}{d x} (- x sin (x) - cos (x))

Wende die Summen-/Differenzregel an:

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

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

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

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

= - (sin (x) + x cos (x)) - (- sin (x))

Vereinfache

- (sin (x) + x cos (x)) - (- sin (x)) : - x cos (x)

= - x cos (x)

Graph

Beliebte Beispiele

integral of sin(x)cos(5x)

\int sin (x) cos (5 x) d x

limit as x approaches 0 of x^a

x \to 0 lim (x^{a})

integral of 1/(6x^3)

\int \frac{1}{6 x ^{3}} d x

integral of 18+0.5x

\int 18 + 0.5 x d x

d/(dt)(cos(at))

\frac{d}{d t} (cos (a t))