derivative of x^2+4x-5

Lösung

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

2 x + 4

Schritte zur Lösung

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

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} (5)

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

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

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

= 2 x + 4 - 0

Vereinfache

= 2 x + 4