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Beliebt Rechnen >

derivative 1/(2sqrt(r))+1/(9r^{(8/9))}

Lösung

ableitung von

\frac{1}{2 r} + \frac{1}{9 r ^{(\frac{8}{9})}}

Lösung

- \frac{1}{4 r ^{\frac{3}{2}}} - \frac{8}{81 r ^{\frac{17}{9}}}

Schritte zur Lösung

\frac{d}{d r} (\frac{1}{2 r} + \frac{1}{9 r ^{\frac{8}{9}}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d r} (\frac{1}{2 r}) + \frac{d}{d r} (\frac{1}{9 r ^{\frac{8}{9}}})

\frac{d}{d r} (\frac{1}{2 r}) = - \frac{1}{4 r ^{\frac{3}{2}}}

\frac{d}{d r} (\frac{1}{9 r ^{\frac{8}{9}}}) = - \frac{8}{81 r ^{\frac{17}{9}}}

= - \frac{1}{4 r ^{\frac{3}{2}}} - \frac{8}{81 r ^{\frac{17}{9}}}

Graph

Beliebte Beispiele

limit as x approaches 0 of 1/(3x^3)

x \to 0 lim (\frac{1}{3 x ^{3}})

y^{''}-2y^'+y=t^{sqrt(3)}e^t

y^{^{''}} - 2 y^{^{'}} + y = t^{3} e^{t}

derivative of 4x^2cos(3x)

\frac{d}{d x} (4 x^{2} cos (3 x))

y^{''}-4y^'+4y=xe^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = x e^{2 x}

derivative of (1+x+x^2^{99})

\frac{d}{d x} ((1 + x + x^{2})^{99})