derivative f(x)= 1/(sqrt(x+6))

Lösung

ableitung von

f (x) = \frac{1}{x + 6}

- \frac{1}{2 ( x + 6 ) ^{\frac{3}{2}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x + 6})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} ((x + 6)^{- \frac{1}{2}})

Wende die Kettenregel an:

- \frac{1}{2 ( x + 6 ) ^{\frac{3}{2}}} \frac{d}{d x} (x + 6)

= - \frac{1}{2 ( x + 6 ) ^{\frac{3}{2}}} \frac{d}{d x} (x + 6)

\frac{d}{d x} (x + 6) = 1

= - \frac{1}{2 ( x + 6 ) ^{\frac{3}{2}}} \cdot 1

Vereinfache

= - \frac{1}{2 ( x + 6 ) ^{\frac{3}{2}}}

\int_{0}^{2 π} sin (t) d t

\frac{d}{d x} (9 lo g_{2} (x))

n \to \infty lim (e^{- n})

\frac{\partial}{\partial y} (2 x + 2 y)

d er i v a t i v e e^{\frac{x}{( x - 4 )}}