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Beliebt Rechnen >

(d^2)/(dx^2)(sqrt(x)+\sqrt[5]{x})

Lösung

\frac{d ^{2}}{d x ^{2}} (x + 5 x)

Lösung

- \frac{1}{4 x ^{\frac{3}{2}}} - \frac{4}{25 x ^{\frac{9}{5}}}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (x + 5 x)

\frac{d}{d x} (x + 5 x) = \frac{1}{2 x} + \frac{1}{5 x ^{\frac{4}{5}}}

= \frac{d}{d x} (\frac{1}{2 x} + \frac{1}{5 x ^{\frac{4}{5}}})

\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{5 x ^{\frac{4}{5}}}) = - \frac{1}{4 x ^{\frac{3}{2}}} - \frac{4}{25 x ^{\frac{9}{5}}}

= - \frac{1}{4 x ^{\frac{3}{2}}} - \frac{4}{25 x ^{\frac{9}{5}}}

Beliebte Beispiele

derivative of 2x^2+3x-2

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

derivative of 5x^e

\frac{d}{d x} (5 x^{e})

integral of 3xe^{5x}

\int 3 x e^{5 x} d x

derivative of ((x^2-4x)/(x+1))

\frac{d}{d x} (\frac{( x ^{2} - 4 x )}{x + 1})

derivative of (sin(x+cos(x))/(cos(x)))

\frac{d}{d x} (\frac{sin ( x ) + cos ( x )}{cos ( x )})