derivative f(x)=x^2+2x

Lösung

ableitung von

f (x) = x^{2} + 2 x

2 x + 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x + 2

\frac{d}{d x} (\frac{x ^{2} + 6 x + 9}{x - 3})

d er i v a t i v e f (x) = (2 x - 5) (3 x + 1)

y^{^{'}} = \frac{x y ^{3}}{1 + x ^{2}}, y (0) = 1

\frac{\partial}{\partial x} (\frac{( 3 x - 4 y )}{- x + 6 y})

s l o p e (8, 1), (0, - 3)