derivative of 50(80-x^2)

Lösung

\frac{d}{d x} (50 (80 - x)^{2})

- 100 (80 - x)

Schritte zur Lösung

\frac{d}{d x} (50 (80 - x)^{2})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 50 \frac{d}{d x} ((80 - x)^{2})

Wende die Kettenregel an:

2 (80 - x) \frac{d}{d x} (80 - x)

= 2 (80 - x) \frac{d}{d x} (80 - x)

\frac{d}{d x} (80 - x) = - 1

= 50 \cdot 2 (80 - x) (- 1)

Vereinfache

= - 100 (80 - x)

x \to 0 lim (\frac{1}{2} + \frac{x}{2 ∣ x ∣})

x \to 0 lim (\frac{x ^{2} + 4 x}{x})

f (x) = x e^{x} + e^{x}

in v erse l a pl a ce \frac{- 3 s - 20}{s ^{2} + 256}

\int \frac{2 u}{u ^{2} + 1} d u