derivative of 2x^3-6x+5

Lösung

\frac{d}{d x} (2 x^{3} - 6 x + 5)

6 x^{2} - 6

Schritte zur Lösung

\frac{d}{d x} (2 x^{3} - 6 x + 5)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (6 x) + \frac{d}{d x} (5)

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

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (5) = 0

= 6 x^{2} - 6 + 0

Vereinfache

= 6 x^{2} - 6

x \to 3 lim (\frac{( x )}{x - 3})

t \to 0 lim (arctan (\frac{1}{t}))

\frac{d}{d x} (1 3 x)

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

\frac{\partial}{\partial x} (e^{x + t})