derivative of 1-x^3

Lösung

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

- 3 x^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (1) = 0

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

= 0 - 3 x^{2}

Vereinfache

= - 3 x^{2}

x \to 0 lim (\frac{sec ( x ) tan ( x )}{x})

\frac{d y}{d x} = \frac{e ^{y} + e ^{- y}}{e ^{x} - e ^{- x}}

\int (e^{2 x} + sin (2 x)) d x

\frac{d}{d x} (sin (x) + \frac{8}{3} cot (x))

\frac{d}{d x} (\frac{1}{2} x + 1)