derivative of 100x^{3/2}

Lösung

\frac{d}{d x} (100 x^{\frac{3}{2}})

150 x^{\frac{1}{2}}

Schritte zur Lösung

\frac{d}{d x} (100 x^{\frac{3}{2}})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 100 \frac{d}{d x} (x^{\frac{3}{2}})

Wende die Potenzregel an:

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

= 100 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Vereinfache

100 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : 150 x^{\frac{1}{2}}

= 150 x^{\frac{1}{2}}

n = 1 \sum \infty (\frac{4}{9})^{2 n + 1}

t an g e n t f (x) = x^{2} + x, at x = 2

y^{^{''}} + 3 y^{^{'}} + 3 y = 0

\frac{d}{d x} (\frac{2 f ( x )}{x ^{2} + 1})

\int_{0}^{r} x arcsin (\frac{x}{2 r}) d x