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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) + 2 sin (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) + 2 sin (x)

Graph

Beliebte Beispiele

integral of 8x^3*(2x^4+4)^4

\int 8 x^{3} \cdot (2 x^{4} + 4)^{4} d x

derivative 6(ln(x)+1)

d er i v a t i v e 6 (ln (x) + 1)

inverselaplace (8e^{(-3)})/(s^3)

in v erse l a pl a ce \frac{8 e ^{(- 3)}}{s ^{3}}

integral of sqrt(16-y^2)

\int 16 - y^{2} d y

integral of sqrt(x^2+10x)

\int x^{2} + 10 x d x