derivative of x^{9/2}

Lösung

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

\frac{9 x ^{\frac{7}{2}}}{2}

Schritte zur Lösung

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

Wende die Potenzregel an:

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

= \frac{9}{2} x^{\frac{9}{2} - 1}

Vereinfache

\frac{9}{2} x^{\frac{9}{2} - 1} : \frac{9 x ^{\frac{7}{2}}}{2}

= \frac{9 x ^{\frac{7}{2}}}{2}

\int \frac{u}{1 - u ^{2}} d u

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t an g e n t y = \frac{x}{x + 4}, (1, 0.2)