derivative of (x-2^2+2)

Lösung

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

2 x - 4

Schritte zur Lösung

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

Vereinfache

(x - 2)^{2} + 2 : x^{2} - 4 x + 6

= \frac{d}{d x} (x^{2} - 4 x + 6)

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} (6)

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

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

\frac{d}{d x} (6) = 0

= 2 x - 4 + 0

Vereinfache

= 2 x - 4

y^{^{'}} + 5 y = e^{- 3 t}

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