derivative 3600(1-t/(60))^2

Lösung

ableitung von

3600 (1 - \frac{t}{60})^{2}

2 t - 120

Schritte zur Lösung

\frac{d}{d t} (3600 (1 - \frac{t}{60})^{2})

Vereinfache

3600 (1 - \frac{t}{60})^{2} : 3600 - 120 t + t^{2}

= \frac{d}{d t} (3600 - 120 t + t^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (3600) - \frac{d}{d t} (120 t) + \frac{d}{d t} (t^{2})

\frac{d}{d t} (3600) = 0

\frac{d}{d t} (120 t) = 120

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

= 0 - 120 + 2 t

Vereinfache

= 2 t - 120

x \to 3 lim (\frac{∣ x + 3 ∣}{x + 3})

\frac{d}{d x} (\frac{4}{x ^{4}} + \frac{1}{x} + 2)

x \to 0 lim ((1 + sin (3 x))^{\frac{1}{x}})

\frac{d}{d x} (\frac{π x ^{2}}{2})

\frac{d}{d x} ((1 + sin (x)) cos (x))