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

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

\frac{\partial}{\partial x} (cos (x) sin (y))

y^{^{''}} - 10 y^{^{'}} + 61 y = 0

in v erse l a pl a ce \frac{56 s}{s ^{2} + 196}

\frac{d y}{d x} = - 2 x tan (y), y (0) = \frac{π}{2}

\frac{d x}{d t} = x (1 - 0.0004 x)