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Beliebt Rechnen >

derivative of Axcos(x+Bcos(x))

Lösung

\frac{d}{d x} (A x cos (x) + B cos (x))

Lösung

A (cos (x) - x sin (x)) - B sin (x)

Schritte zur Lösung

\frac{d}{d x} (A x cos (x) + B cos (x))

Behandle

A, B

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (A x cos (x)) + \frac{d}{d x} (B cos (x))

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

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

= A (cos (x) - x sin (x)) - B sin (x)

Graph

Beliebte Beispiele

limit as x approaches 1 of 1/(x-1)

x \to 1 lim (\frac{1}{x - 1})

inverselaplace 1/(2s+1)

in v erse l a pl a ce \frac{1}{2 s + 1}

integral of (-x)/(sqrt(x+1))

\int \frac{- x}{x + 1} d x

integral of (sin(x)-2cos(x))

\int (sin (x) - 2 cos (x)) d x

inverselaplace (2s)/(s^2+4)

in v erse l a pl a ce \frac{2 s}{s ^{2} + 4}