d/(dX)((X^2)/2+2X-3)

Lösung

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

X + 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= X + 2 - 0

Vereinfache

= X + 2

x^{2} + 4 m (x) + 4 = 0

- (x - 2)^{2} = - 2 y - 4

(y - 5)^{2} = 3 (x + 3)

- y^{2} + x + 6 y = 8

x^{2} - k (x) + 10 = 0