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

Lösung

ableitung von

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

1

Schritte zur Lösung

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

Vereinfache

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

= \frac{d}{d t} (t + 2)

Wende die Summen-/Differenzregel an:

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

= \frac{d t}{d t} + \frac{d}{d t} (2)

\frac{d t}{d t} = 1

\frac{d}{d t} (2) = 0

= 1 + 0

Vereinfache

= 1

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

\frac{d}{d x} \frac{d y}{d x} - a^{2} y + b = 0

x \to \infty lim (\frac{45}{x})

a re a y = x + 1, y = 0, x = 0, x = 2

\frac{d}{d θ} (cos (2 θ))