derivative 1+10sqrt(t)

Lösung

ableitung von

1 + 10 t

\frac{5}{t}

Schritte zur Lösung

\frac{d}{d t} (1 + 10 t)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (1) + \frac{d}{d t} (10 t)

\frac{d}{d t} (1) = 0

\frac{d}{d t} (10 t) = \frac{5}{t}

= 0 + \frac{5}{t}

Vereinfache

= \frac{5}{t}

t an g e n t f (x) = \frac{x ^{3}}{4}, (- 6, - 54)

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