derivative of x^2-4x+10

Lösung

\frac{d}{d x} (x^{2} - 4 x + 10)

2 x - 4

Schritte zur Lösung

\frac{d}{d x} (x^{2} - 4 x + 10)

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} (10)

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

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

\frac{d}{d x} (10) = 0

= 2 x - 4 + 0

Vereinfache

= 2 x - 4

\frac{d}{d x} (6 e^{x} + \frac{4}{3 x})

x \to 5 lim (\frac{1}{x ^{2} - 1})

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

y^{^{''}} + 31 y = 0

\frac{d}{d x} (- 8 x^{\frac{1}{2}})