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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

= x cos (x)

Graph

Beliebte Beispiele

integral of sqrt(13+12x-x^2)

\int 13 + 12 x - x^{2} d x

y^{^{'}} = 2 y + x^{2} + 7

inverselaplace 1/(s^2+8)(-40/33)

in v erse l a pl a ce \frac{1}{s ^{2} + 8} (- \frac{40}{33})

tangent 7/(2sqrt(7x+2)),\at a=2

t an g e n t \frac{7}{2 7 x + 2}, at a = 2

integral of cos((2pinx)/L)

\int cos (\frac{2 πn x}{L}) d x