derivative of 4x^3-66x^2+216x

Lösung

\frac{d}{d x} (4 x^{3} - 66 x^{2} + 216 x)

12 x^{2} - 132 x + 216

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} - 66 x^{2} + 216 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (66 x^{2}) + \frac{d}{d x} (216 x)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (66 x^{2}) = 132 x

\frac{d}{d x} (216 x) = 216

= 12 x^{2} - 132 x + 216

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

t an g e n t \frac{x ^{3}}{6} - 3 x^{2} + \frac{( 77 x )}{6} - 8, at x = 5

\frac{d y}{d x} = \frac{y}{2 + x ^{2}}

x \to 0 lim (\frac{e ^{x} - 2}{x})

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