(\partial)/(\partial x)(x^{-1/2})

Lösung

\frac{\partial}{\partial x} (x^{- \frac{1}{2}})

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

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{- \frac{1}{2}})

Wende die Potenzregel an:

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

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

Vereinfache

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

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

\int \frac{5}{x ^{2} + 2 x + 5} d x

t an g e n t f (x) = 9 + cot (x) - 2 csc (x), at x = 1

t \to 4 lim (t ∣ t - 4 ∣)

x \to 0 lim (x \frac{π}{2})

d er i v a t i v e \frac{2 x}{x - 1}