derivative f(x)=4x^2+5x+3

Lösung

ableitung von

f (x) = 4 x^{2} + 5 x + 3

8 x + 5

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} + 5 x + 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (5 x) + \frac{d}{d x} (3)

\frac{d}{d x} (4 x^{2}) = 8 x

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

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

= 8 x + 5 + 0

Vereinfache

= 8 x + 5

\int (x^{3} + 3 x)^{32} (3 x^{2} + 3) d x

x \to \infty lim (1 + \frac{1}{x})

d er i v a t i v e x x^{2} + 5

n = 2 \sum \infty \frac{1}{n}

\frac{d}{d x} (x^{- \frac{1}{5}})