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Beliebt Rechnen >

derivative sin(x)+xcos(x)

Lösung

ableitung von

sin (x) + x cos (x)

Lösung

2 cos (x) - x sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

= 2 cos (x) - x sin (x)

Graph

Beliebte Beispiele

derivative of 6^{x^2}

\frac{d}{d x} (6^{x^{2}})

derivative of ((6x^2+8x+2)/(sqrt(x)))

\frac{d}{d x} (\frac{( 6 x ^{2} + 8 x + 2 )}{x})

(\partial)/(\partial x)(30y^4sin(2x))

\frac{\partial}{\partial x} (30 y^{4} sin (2 x))

derivative (x-4)ln(4-x)

d er i v a t i v e (x - 4) ln (4 - x)

derivative of xsin(4x)

\frac{d}{d x} (x sin (4 x))