derivative 4/(t^2)-2/t

Lösung

ableitung von

\frac{4}{t ^{2}} - \frac{2}{t}

- \frac{8}{t ^{3}} + \frac{2}{t ^{2}}

Schritte zur Lösung

\frac{d}{d t} (\frac{4}{t ^{2}} - \frac{2}{t})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (\frac{4}{t ^{2}}) - \frac{d}{d t} (\frac{2}{t})

\frac{d}{d t} (\frac{4}{t ^{2}}) = - \frac{8}{t ^{3}}

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

= - \frac{8}{t ^{3}} - (- \frac{2}{t ^{2}})

Vereinfache

= - \frac{8}{t ^{3}} + \frac{2}{t ^{2}}

t an g e n t f (x) = x^{4}, at x = 7

\int \frac{e ^{2 x}}{1 + e ^{x}} d x

\frac{d}{d x} \frac{( x ^{2} + 32 x ^{\frac{1}{2}} )}{8}

(e^{y} + 1)^{2} e^{- y} d x + (e^{x} + 1) e^{- x} d y = 0

t a y l or \frac{1}{( x - 1 ) ^{2}}