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Beliebt Rechnen >

derivative of 2cos(x-cos(2x))

Lösung

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

Lösung

- 2 sin (x) + 2 sin (2 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - 2 sin (x) - (- sin (2 x) \cdot 2)

Vereinfache

= - 2 sin (x) + 2 sin (2 x)

Graph

Beliebte Beispiele

y*ln(x)*(dy}{dx}=(\frac{y+1)/x)^2

y \cdot ln (x) \cdot \frac{d y}{d x} = (\frac{y + 1}{x})^{2}

tangent y=7x+9cos(x),(0,9)

t an g e n t y = 7 x + 9 cos (x), (0, 9)

integral of (x+7)/(x^2+4)

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

(\partial)/(\partial t)(stu^2)

\frac{\partial}{\partial t} (s t u^{2})

derivative of x/(x+8)

\frac{d}{d x} (\frac{x}{x + 8})