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Beliebt Rechnen >

derivative sqrt(n)

Lösung

ableitung von

n

Lösung

\frac{1}{2 n}

Schritte zur Lösung

\frac{d}{d n} (n)

Wende Radikal Regel an:

a = a^{\frac{1}{2}}

= \frac{d}{d n} (n^{\frac{1}{2}})

Wende die Potenzregel an:

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

= \frac{1}{2} n^{\frac{1}{2} - 1}

Vereinfache

\frac{1}{2} n^{\frac{1}{2} - 1} : \frac{1}{2 n}

= \frac{1}{2 n}

Graph

Beliebte Beispiele

integral of y^2

\int y^{2} d y

integral from 1 to 2 of 3/(t^4)

\int_{1}^{2} \frac{3}{t ^{4}} d t

x^2y^'+2x^3y=y^2(1+2x^2)

x^{2} y^{^{'}} + 2 x^{3} y = y^{2} (1 + 2 x^{2})

derivative of 9sqrt(x)+2

\frac{d}{d x} (9 x + 2)

integral of (x+2sqrt(x-1))/(2xsqrt(x-1))

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