derivative of 3x^2-2x+4

Lösung

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

6 x - 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (4) = 0

= 6 x - 2 + 0

Vereinfache

= 6 x - 2

\frac{\partial}{\partial y} (y (1 - x^{2}))

x \to 1 lim (\frac{2 x + 3}{x + 1})

\frac{\partial}{\partial y} (166 x + 456 y - \frac{5000}{x} - \frac{1080}{y} + 43590)

\int 6 x csc (6 x) cot (6 x) d x

t an g e n t f (x) = \frac{64}{x ^{2} + 16}, at x = - 4