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Beliebt Rechnen >

derivative of xcos(x+pi)

Lösung

\frac{d}{d x} (x cos (x) + π)

Lösung

- x sin (x) + cos (x)

Schritte zur Lösung

\frac{d}{d x} (x cos (x) + π)

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d π}{d x} = 0

= cos (x) - x sin (x) + 0

Vereinfache

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

Graph

Beliebte Beispiele

y^{''}-2y^'-3y=-5te-t

y^{^{''}} - 2 y^{^{'}} - 3 y = - 5 t e - t

derivative sqrt(3x+5)

d er i v a t i v e 3 x + 5

y^'+6(tan(6x))y=4cos(6x)

y^{^{'}} + 6 (tan (6 x)) y = 4 cos (6 x)

integral of sin(x)e^{-2x}

\int sin (x) e^{- 2 x} d x

integral of (5x^3+7x+2)/(x^4+9x^2)

\int \frac{5 x ^{3} + 7 x + 2}{x ^{4} + 9 x ^{2}} d x