(\partial)/(\partial x)(3x^2-27)

Lösung

\frac{\partial}{\partial x} (3 x^{2} - 27)

6 x

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x^{2} - 27)

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x^{2}) - \frac{\partial}{\partial x} (27)

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

\frac{\partial}{\partial x} (27) = 0

= 6 x - 0

Vereinfache

= 6 x

x \to 0 + lim (x (ln (x))^{2})

\frac{d}{d x} (\frac{( - 4 x ) ( 2 x - 2 )}{- 3 x ^{2} + 1})

x \to - 1 lim (x - x^{3})

\frac{d}{d x} ((x y^{3} + x^{2} y)^{3})

\int \frac{1}{9 x + 7} d x