derivative g(t)= 1/(sqrt(t))

Lösung

ableitung von

g (t) = \frac{1}{t}

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

Schritte zur Lösung

\frac{d}{d t} (\frac{1}{t})

Wende Exponentenregel an:

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

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

Wende die Potenzregel an:

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

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

Vereinfache

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

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

\int_{1}^{\infty} \frac{2}{e ^{x}} d x

\frac{\partial}{\partial x} (6 y^{2} - 6 x^{2})

t an g e n t f (x) = x^{2} + 2, (2, 6)

t an g e n t f (x) = x^{2} - x, at x = 4

y^{^{'}} = y ln (\frac{450}{y})