derivative of 1-|x-1|

Lösung

\frac{d}{d x} (1 - ∣ x - 1 ∣)

- \frac{x - 1}{∣ x - 1 ∣}

Schritte zur Lösung

\frac{d}{d x} (1 - ∣ x - 1 ∣)

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (1) = 0

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

= 0 - \frac{x - 1}{∣ x - 1 ∣}

Vereinfache

= - \frac{x - 1}{∣ x - 1 ∣}

\int_{- 1}^{1} (4 - 4 x^{2})^{2} d x

\frac{\partial}{\partial x} (tan (\frac{u}{v}))

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

\int_{0}^{1} 1 + 9 x^{2} d x

\frac{d}{d x} (d - \frac{d}{x ^{2}} - a x - b)