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Beliebt Rechnen >

derivative y=x^{2/3}-x

Lösung

ableitung von

y = x^{\frac{2}{3}} - x

Lösung

\frac{2}{3 x ^{\frac{1}{3}}} - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d x}{d x} = 1

= \frac{2}{3 x ^{\frac{1}{3}}} - 1

Graph

Beliebte Beispiele

derivative of x^2-2x^2

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

integral of tsinh(mt)

\int t sinh (m t) d t

tangent f(x)= 3/(x+1),\at x=-2

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

(dy)/(dt)=-0.4y+6.2e^{-0.73t}

\frac{d y}{d t} = - 0.4 y + 6.2 e^{- 0.73 t}

integral of e^x(cos(x))

\int e^{x} (cos (x)) d x