derivative of sqrt(4-3x^2)

Lösung

\frac{d}{d x} (4 - 3 x^{2})

- \frac{3 x}{4 - 3 x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (4 - 3 x^{2})

Wende die Kettenregel an:

\frac{1}{2 4 - 3 x ^{2}} \frac{d}{d x} (4 - 3 x^{2})

= \frac{1}{2 4 - 3 x ^{2}} \frac{d}{d x} (4 - 3 x^{2})

\frac{d}{d x} (4 - 3 x^{2}) = - 6 x

= \frac{1}{2 4 - 3 x ^{2}} (- 6 x)

Vereinfache

\frac{1}{2 4 - 3 x ^{2}} (- 6 x) : - \frac{3 x}{4 - 3 x ^{2}}

= - \frac{3 x}{4 - 3 x ^{2}}

\frac{d}{d x} (I n (- x^{2} + 6 x))

x \to 1 + lim (\frac{x + 9}{x + 2})

\frac{\partial}{\partial x} (4 y x^{3} - 12 y^{2} x^{2})

in v erse l a pl a ce s e^{- s}

x \to 0 + lim (x^{\frac{3}{x}})