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Beliebt Rechnen >

derivative x^{0.5}

Lösung

ableitung von

x^{0.5}

Lösung

\frac{0.5}{x ^{0.5}}

Schritte zur Lösung

\frac{d}{d x} (x^{0.5})

Wende die Potenzregel an:

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

= 0.5 x^{0.5 - 1}

Vereinfache

0.5 x^{0.5 - 1} : \frac{0.5}{x ^{0.5}}

= \frac{0.5}{x ^{0.5}}

Graph

Beliebte Beispiele

derivative of xsin(pix)

\frac{d}{d x} (x sin (π x))

derivative of 9e^x(cos(x-sin(x)))

\frac{d}{d x} (9 e^{x} (cos (x) - sin (x)))

integral of (cos(x)+5^x)

\int (cos (x) + 5^{x}) d x

integral of (x^2+6x)cos(x)

\int (x^{2} + 6 x) cos (x) d x

derivative of e^{ax^6}

\frac{d}{d x} (e^{a x^{6}})