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Beliebt Rechnen >

derivative of x^{9/4}

Lösung

\frac{d}{d x} (x^{\frac{9}{4}})

Lösung

\frac{9 x ^{\frac{5}{4}}}{4}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{9}{4}})

Wende die Potenzregel an:

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

= \frac{9}{4} x^{\frac{9}{4} - 1}

Vereinfache

\frac{9}{4} x^{\frac{9}{4} - 1} : \frac{9 x ^{\frac{5}{4}}}{4}

= \frac{9 x ^{\frac{5}{4}}}{4}

Graph

Beliebte Beispiele

derivative f(θ)=sqrt(11θ)

d er i v a t i v e f (θ) = 11 θ

f(s)=sqrt((s^2+1)/(s^2+4))

f (s) = \frac{s ^{2} + 1}{s ^{2} + 4}

integral from 1 to 4 of x-(x-2)^2

\int_{1}^{4} x - (x - 2)^{2} d x

limit as x approaches 2 of sqrt((6-x)-2)

x \to 2 lim ((6 - x) - 2)

derivative of (90/(x^9))

\frac{d}{d x} (\frac{90}{x ^{9}})