derivative of x^3-3x^2-24x+32

Lösung

\frac{d}{d x} (x^{3} - 3 x^{2} - 24 x + 32)

3 x^{2} - 6 x - 24

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 3 x^{2} - 24 x + 32)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (24 x) + \frac{d}{d x} (32)

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

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

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

\frac{d}{d x} (32) = 0

= 3 x^{2} - 6 x - 24 + 0

Vereinfache

= 3 x^{2} - 6 x - 24

in v erse l a pl a ce \frac{1}{0.1 s + 1}

\int (3 e^{x} + 5) d x

\frac{d}{d x} (\frac{8 x ^{6} - 125 b ^{9}}{2 x ^{2} - 5 b ^{3}})

d er i v a t i v e (2 x + 1)^{5} (x^{3} - x + 1)^{4}

\frac{d}{d x} (e^{x} (x - 5) + 5)