derivative 6sqrt(t)-2/(sqrt(t))

Lösung

ableitung von

6 t - \frac{2}{t}

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

Schritte zur Lösung

\frac{d}{d t} (6 t - \frac{2}{t})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (6 t) - \frac{d}{d t} (\frac{2}{t})

\frac{d}{d t} (6 t) = \frac{3}{t}

\frac{d}{d t} (\frac{2}{t}) = - \frac{1}{t ^{\frac{3}{2}}}

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

Vereinfache

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

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

in v erse l a pl a ce \frac{3 s + 17}{s ^{2} + s + 1}

t^{2} y^{^{''}} + 19 t y^{^{'}} + 106 y = 0

x \to 0 lim (tan (\frac{1}{x}))

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