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Beliebt Rechnen >

derivative of cos(x-2xy)

Lösung

\frac{d}{d x} (cos (x) - 2 x y)

Lösung

- sin (x) - 2 (y + x \frac{d y}{d x})

Schritte zur Lösung

\frac{d}{d x} (cos (x) - 2 x y)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos (x)) - \frac{d}{d x} (2 x y)

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

\frac{d}{d x} (2 x y) = 2 (y + x \frac{d y}{d x})

= - sin (x) - 2 (y + x \frac{d y}{d x})

Beliebte Beispiele

y^'+4y=cos(4t),y(0)=2

y^{^{'}} + 4 y = cos (4 t), y (0) = 2

vereinfachen 1/3 x^{3/2}-x^{1/2}

s im pl i f y \frac{1}{3} x^{\frac{3}{2}} - x^{\frac{1}{2}}

integral of 1/(x^3)

\int \frac{1}{x ^{3}} d x

f (x) = x^{\frac{1}{5}}

limit as x approaches 2 of 5x-14x^{-2}

x \to 2 lim (5 x - 14 x^{- 2})