derivative of 3x^2+8x+5

Lösung

\frac{d}{d x} (3 x^{2} + 8 x + 5)

6 x + 8

Schritte zur Lösung

\frac{d}{d x} (3 x^{2} + 8 x + 5)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (8 x) + \frac{d}{d x} (5)

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

\frac{d}{d x} (8 x) = 8

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

= 6 x + 8 + 0

Vereinfache

= 6 x + 8

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

\frac{\partial}{\partial y} (6 x y - 5 y)

a re a - 10 x + 11, x^{2} - 5 x - 13, - 8, 3

x \to 0 lim (\frac{7}{x} - 7 cot (x))

d er i v a t i v e f (x) = \frac{x}{7 + x}