derivative of sqrt(3-x^2)

Lösung

\frac{d}{d x} (3 - x^{2})

- \frac{x}{3 - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (3 - x^{2})

Wende die Kettenregel an:

\frac{1}{2 3 - x ^{2}} \frac{d}{d x} (3 - x^{2})

= \frac{1}{2 3 - x ^{2}} \frac{d}{d x} (3 - x^{2})

\frac{d}{d x} (3 - x^{2}) = - 2 x

= \frac{1}{2 3 - x ^{2}} (- 2 x)

Vereinfache

\frac{1}{2 3 - x ^{2}} (- 2 x) : - \frac{x}{3 - x ^{2}}

= - \frac{x}{3 - x ^{2}}

n = 3 \sum \infty \frac{2}{n ( n + 3 )}

\frac{d h}{d t} = 4 - 16 t^{2}, h (1) = 0

x \to 1 + lim (\frac{8}{x ^{3} - 1})

t an g e n t f (x) = (x^{3} - 9 x)^{10}, (- 3, 0)

\frac{d}{d x} (x^{y z})