derivative of sqrt(1-x^2)-xarccos(x)

Lösung

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

- arccos (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

= - arccos (x)

y \frac{d y}{d x} = - 8 cos (π x)

\frac{\partial}{\partial x} (csc^{2} (x))

n = 0 \sum \infty n \cdot e^{- n^{2}}

t an g e n t y = 4 ln (x)

\int \frac{x ^{2} + 1}{x ^{2}} d x