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Beliebt Rechnen >

derivative of cos(x+xsin(x))

Lösung

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

Lösung

x cos (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

= x cos (x)

Graph

Beliebte Beispiele

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

derivative f(x)=8sin^3(sqrt(x))

d er i v a t i v e f (x) = 8 sin^{3} (x)

derivative of ((5x^5-3)/((-3x^3+1)))

\frac{d}{d x} (\frac{( 5 x ^{5} - 3 )}{( - 3 x ^{3} + 1 )})

derivative y=2(6x^2-42x+49)

d er i v a t i v e y = 2 (6 x^{2} - 42 x + 49)

f (x) = 25 x