derivative of (6x^2-x^4/9)

Lösung

\frac{d}{d x} (\frac{6 x ^{2} - x ^{4}}{9})

\frac{1}{9} (12 x - 4 x^{3})

Schritte zur Lösung

\frac{d}{d x} (\frac{6 x ^{2} - x ^{4}}{9})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{9} \frac{d}{d x} (6 x^{2} - x^{4})

Wende die Summen-/Differenzregel an:

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

= \frac{1}{9} (\frac{d}{d x} (6 x^{2}) - \frac{d}{d x} (x^{4}))

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

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

= \frac{1}{9} (12 x - 4 x^{3})

\frac{\partial}{\partial x} (2 z^{3} \cdot y sin (x))

d er i v a t i v e \frac{2}{4 16 x ^{3}}

t \to - \infty lim (\frac{( - 2 t - 2 )}{e ^{t}})

\int_{0}^{2} sin (π x) d x

\int \frac{π}{x ^{2}} d x