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Beliebt Rechnen >

derivative of-xcos(x+sin(x))

Lösung

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

Lösung

x sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

= x sin (x)

Graph

Beliebte Beispiele

derivative of 1/2 x^4-2x^2

\frac{d}{d x} (\frac{1}{2} x^{4} - 2 x^{2})

limit as x approaches 3 of (x^3-9)/(x-3)

x \to 3 lim (\frac{x ^{3} - 9}{x - 3})

derivative (8(2x)^4+5)^3

d er i v a t i v e (8 (2 x)^{4} + 5)^{3}

(\partial)/(\partial x)((x^p+y^p)^{1/p})

\frac{\partial}{\partial x} ((x^{p} + y^{p})^{\frac{1}{p}})

tangent 1/(5+3x)

t an g e n t \frac{1}{5 + 3 x}