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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{1}{2 x}

Schritte zur Lösung

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

Wende die Potenzregel an:

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

= \frac{1}{2} (x^{2})^{\frac{1}{2} - 1}

Vereinfache

\frac{1}{2} (x^{2})^{\frac{1}{2} - 1} : \frac{1}{2 x}

= \frac{1}{2 x}

Graph

Beliebte Beispiele

derivative of (2x+3/(x+2))

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

derivative of x^3+x^2+x+1

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

integral of 1/((1+cos(x))^2)

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

integral of 1/(t+2)

\int \frac{1}{t + 2} d t

integral from-1 to 2 of x^2e^{x^3+1}

\int_{- 1}^{2} x^{2} e^{x^{3} + 1} d x