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Beliebt Rechnen >

derivative \sqrt[9]{x}

Lösung

ableitung von

9 x

Lösung

\frac{1}{9 x ^{\frac{8}{9}}}

Schritte zur Lösung

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

Wende Radikal Regel an:

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

= \frac{d}{d x} (x^{\frac{1}{9}})

Wende die Potenzregel an:

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

= \frac{1}{9} x^{\frac{1}{9} - 1}

Vereinfache

\frac{1}{9} x^{\frac{1}{9} - 1} : \frac{1}{9 x ^{\frac{8}{9}}}

= \frac{1}{9 x ^{\frac{8}{9}}}

Graph

Beliebte Beispiele

derivative of sec(x-1/(x^3)+5)

\frac{d}{d x} (sec (x) - \frac{1}{x ^{3}} + 5)

limit as x approaches 0 of xln(tan(2x))

x \to 0 lim (x ln (tan (2 x)))

8y^{''}-8y^'+4y=0

8 y^{^{''}} - 8 y^{^{'}} + 4 y = 0

(dy)/(dx)=9-(3y)/(250)

\frac{d y}{d x} = 9 - \frac{3 y}{250}

derivative Y(x)=e^{4x+3}

d er i v a t i v e Y (x) = e^{4 x + 3}