derivative of (x-1^{1/2})

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= \frac{1}{2 ( x - 1 ) ^{\frac{1}{2}}} \frac{d}{d x} (x - 1)

\frac{d}{d x} (x - 1) = 1

= \frac{1}{2 ( x - 1 ) ^{\frac{1}{2}}} \cdot 1

Vereinfache

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

\frac{\partial}{\partial x} (y e^{\frac{y}{x}})

\int (sin (3 x)) d x

\frac{\partial}{\partial x} (6 cos^{4} (3 x + 2))

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

(x - 3)^{^{'}}