derivative of 2x^3-6x^2-18x-24

Lösung

\frac{d}{d x} (2 x^{3} - 6 x^{2} - 18 x - 24)

6 x^{2} - 12 x - 18

Schritte zur Lösung

\frac{d}{d x} (2 x^{3} - 6 x^{2} - 18 x - 24)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (6 x^{2}) - \frac{d}{d x} (18 x) - \frac{d}{d x} (24)

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (18 x) = 18

\frac{d}{d x} (24) = 0

= 6 x^{2} - 12 x - 18 - 0

Vereinfache

= 6 x^{2} - 12 x - 18

d er i v a t i v e 5 \frac{5 x}{4 x - 3}

s im pl i f y 900 x - \frac{1}{3} x^{3} + 2500

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

\frac{\partial}{\partial x} (\frac{8}{x})

\frac{d}{d t} (ln ((\frac{a + b t}{a - b t})^{\frac{1}{2}}))