derivative f(x)=x^{5/2}

Lösung

ableitung von

f (x) = x^{\frac{5}{2}}

\frac{5 x ^{\frac{3}{2}}}{2}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{5}{2}})

Wende die Potenzregel an:

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

= \frac{5}{2} x^{\frac{5}{2} - 1}

Vereinfache

\frac{5}{2} x^{\frac{5}{2} - 1} : \frac{5 x ^{\frac{3}{2}}}{2}

= \frac{5 x ^{\frac{3}{2}}}{2}

x \to - 1 lim (x (x + 3))

n = 0 \sum \infty (\frac{2}{7})^{n}

\int_{0}^{π} sin^{2} (t) d t

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

x \to 1 lim (x^{2} + 1)