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Beliebt Rechnen >

derivative of 1/(x^{3/2})

Lösung

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

Lösung

- \frac{3}{2 x ^{\frac{5}{2}}}

Schritte zur Lösung

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

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Vereinfache

- \frac{3}{2} x^{- \frac{3}{2} - 1} : - \frac{3}{2 x ^{\frac{5}{2}}}

= - \frac{3}{2 x ^{\frac{5}{2}}}

Graph

Beliebte Beispiele

inverselaplace (3s)/(s^2+4)

in v erse l a pl a ce \frac{3 s}{s ^{2} + 4}

fläche x+6y=8,x+8=y^2

a re a x + 6 y = 8, x + 8 = y^{2}

integral of (2x)/(x^2-1)

\int \frac{2 x}{x ^{2} - 1} d x

derivative of sqrt(x^4-9x^2+16)

\frac{d}{d x} (x^{4} - 9 x^{2} + 16)

integral of (ln(sqrt(4x)))/x

\int \frac{ln ( 4 x )}{x} d x