derivative y=(x+2)^2-3

Lösung

ableitung von

y = (x + 2)^{2} - 3

2 x + 4

Schritte zur Lösung

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

Vereinfache

(x + 2)^{2} - 3 : x^{2} + 4 x + 1

= \frac{d}{d x} (x^{2} + 4 x + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (4 x) + \frac{d}{d x} (1)

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

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

\frac{d}{d x} (1) = 0

= 2 x + 4 + 0

Vereinfache

= 2 x + 4

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

\int_{- 5}^{5} \frac{y}{25 - y ^{2}} d y

d er i v a t i v e x^{3} (2 x - 1)^{7}

x \to 0 lim (x + 2)

\frac{d}{d x} (sin (x + 3) + (- cos (x - \frac{1}{2})))