derivative x^3+x+3

Lösung

ableitung von

x^{3} + x + 3

3 x^{2} + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (3) = 0

= 3 x^{2} + 1 + 0

Vereinfache

= 3 x^{2} + 1

a re a e^{x}, e^{- 4 x}, x = ln (3)

\int_{1}^{3} ((x)^{3} + e^{- 3 x}) d x

x \to 36 lim (x)

x \to 3 lim ((4 x + 5) (3 x - 2))

x \to - \infty lim (1 + x^{2})