derivative of sqrt(1-2x^2)

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (1 - 2 x^{2}) = - 4 x

= \frac{1}{2 1 - 2 x ^{2}} (- 4 x)

Vereinfache

\frac{1}{2 1 - 2 x ^{2}} (- 4 x) : - \frac{2 x}{1 - 2 x ^{2}}

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

\frac{d}{d x} (\frac{x}{x ^{3} + 1})

x \to 2 + lim (2 x - 2)

t an g e n t y = sin (sin (x)), (π, 0)

\frac{d}{d x} (sin (x^{2} - 4))

\frac{\partial}{\partial u} ((u^{2} v - v^{3})^{5})