derivative y=arcsin(x)+sqrt(1-x^2)

Lösung

ableitung von

y = arcsin (x) + 1 - x^{2}

\frac{1 - x}{- x ^{2} + 1}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{1}{1 - x ^{2}} - \frac{x}{1 - x ^{2}}

Wende Regel an

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{1 - x}{- x ^{2} + 1}

\frac{\partial}{\partial v} (uv - 1)

\frac{d}{d x} (4 x + \frac{64}{x})

d er i v a t i v e f (x) = 3 x - 9

x \to 3 lim (\frac{x ^{2} - 2 x + 1}{2})

(3 \frac{y}{x} - 8) d x + 3 d y = 0