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Beliebt Rechnen >

(sin(x)+xcos(x))^'

Lösung

(sin (x) + x cos (x))^{^{'}}

Lösung

2 cos (x) - x sin (x)

Schritte zur Lösung

(sin (x) + x cos (x))^{'}

Wende die Summen-/Differenzregel an:

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

= (sin (x))^{^{'}} + (x cos (x))^{^{'}}

(sin (x))^{'} = cos (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

integral of (2e^{2x})/(e^{10)-1}

\int \frac{2 e ^{2 x}}{e ^{10} - 1} d x

integral of 1/((121+x^2)^2)

\int \frac{1}{( 121 + x ^{2} ) ^{2}} d x

integral of ((x^2+2x-2))/(x^3-4x)

\int \frac{( x ^{2} + 2 x - 2 )}{x ^{3} - 4 x} d x

integral of-6e^{-6x}

\int - 6 e^{- 6 x} d x

integral of 3/(1000+2t)

\int \frac{3}{1000 + 2 t} d t