derivative of arcsin(x^2+1)

Lösung

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

\frac{2}{- x ^{2} - 2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{2}{- x ^{2} - 2}

t an g e n t y = \frac{x}{36 + x ^{2}}, (0, 0)

p a r i t y f (t) = tan (sec (cos (t)))

x \to 5 lim (76)

\int_{- 5}^{7} (\frac{x}{2} + 7) d x

n = 1 \sum \infty - (\frac{2}{3})^{n - 1}