derivative (25)/(t^2)-5/t

Lösung

ableitung von

\frac{25}{t ^{2}} - \frac{5}{t}

- \frac{50}{t ^{3}} + \frac{5}{t ^{2}}

Schritte zur Lösung

\frac{d}{d t} (\frac{25}{t ^{2}} - \frac{5}{t})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (\frac{25}{t ^{2}}) - \frac{d}{d t} (\frac{5}{t})

\frac{d}{d t} (\frac{25}{t ^{2}}) = - \frac{50}{t ^{3}}

\frac{d}{d t} (\frac{5}{t}) = - \frac{5}{t ^{2}}

= - \frac{50}{t ^{3}} - (- \frac{5}{t ^{2}})

Vereinfache

= - \frac{50}{t ^{3}} + \frac{5}{t ^{2}}

\frac{d}{d x} (x e^{2 x} (arcsin (3 x)))

1200 \frac{d y}{d x} = 12000 - 200 y - 1800

\int \frac{- 2}{x ^{6}} d x

t an g e n t f (x) = \frac{7 x}{x + 7}, (3, 2.1)

n = 1 \sum \infty (\frac{1}{3})^{n - 1}