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Beliebt Rechnen >

derivative of 2cos(x^3-2/x)

Lösung

\frac{d}{d x} (2 cos (x^{3}) - \frac{2}{x})

Lösung

- 6 x^{2} sin (x^{3}) + \frac{2}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (2 cos (x^{3}) - \frac{2}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 cos (x^{3})) - \frac{d}{d x} (\frac{2}{x})

\frac{d}{d x} (2 cos (x^{3})) = - 6 x^{2} sin (x^{3})

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

= - 6 x^{2} sin (x^{3}) - (- \frac{2}{x ^{2}})

Vereinfache

= - 6 x^{2} sin (x^{3}) + \frac{2}{x ^{2}}

Graph

Beliebte Beispiele

tangent f(x)=x^2+3x+1,(-1,-1)

t an g e n t f (x) = x^{2} + 3 x + 1, (- 1, - 1)

integral of 2/((x+1)^3)

\int \frac{2}{( x + 1 ) ^{3}} d x

\frac{d}{d y} (x^{2} y^{2})

derivative of sqrt(x^2)+1

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

(\partial)/(\partial x)(xe^{2t}-4x)

\frac{\partial}{\partial x} (x e^{2 t} - 4 x)