derivative of (x^3/(sqrt(x)))

Lösung

\frac{d}{d x} (\frac{x ^{3}}{x})

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

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{3}}{x})

Vereinfache

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

= \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}

\int \frac{1}{( 16 - x ^{2} ) ^{3}} d x

t a y l or ln (- 3 x + 2), - 2

\frac{d}{d x} (\frac{e ^{x - 3}}{x - 2})

x \to - 4 lim (m (x) (3 x + 2) + 2 k)

\int_{5}^{20} (x^{2} x) d x