d/(dt)(arcsin(sqrt(2t)))

Lösung

\frac{d}{d t} (arcsin (2 t))

\frac{1}{2 t 1 - 2 t}

Schritte zur Lösung

\frac{d}{d t} (arcsin (2 t))

Vereinfache

arcsin (2 t) : arcsin (2 t)

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

Wende die Kettenregel an:

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

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

\frac{d}{d t} (2 t) = \frac{1}{2 t}

= \frac{1}{1 - ( 2 t ) ^{2}} \cdot \frac{1}{2 t}

Vereinfache

\frac{1}{1 - ( 2 t ) ^{2}} \cdot \frac{1}{2 t} : \frac{1}{2 t 1 - 2 t}

= \frac{1}{2 t 1 - 2 t}

\frac{d}{d x} (\frac{x ^{4}}{5})

t an g e n t f (x) = - x^{3} - 3 x^{2} - 3, at x = - 3

x \to - 1 lim (\frac{x + 2}{x ^{2} + x})

\int \frac{1}{x} d x

a re a y = x^{2} + 4, y = 7 - 2 x^{2}