derivative f(x)=(x^3)/4-3x

Lösung

ableitung von

f (x) = \frac{x ^{3}}{4} - 3 x

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

\frac{\partial}{\partial x} (\frac{9 x - 2 y}{9 x + 2 y})

d er i v a t i v e f (x) = \frac{x ^{\frac{1}{3}} - 4}{x ^{\frac{7}{2}}}

d er i v a t i v e \frac{3}{4} s^{2}

\frac{\partial}{\partial x} (\frac{x + 2 y}{x ^{2} - y})

z \to 1 + i lim (z^{2} + i)