derivative of 4-|x|

Lösung

\frac{d}{d x} (4 - ∣ x ∣)

- \frac{x}{∣ x ∣}

Schritte zur Lösung

\frac{d}{d x} (4 - ∣ x ∣)

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (4) = 0

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

= 0 - \frac{x}{∣ x ∣}

Vereinfache

= - \frac{x}{∣ x ∣}

\int \frac{e ^{3 x}}{( 1 - 2 e ^{3 x} ) ^{2}} d x

\int e [2 x] d x

\int \frac{3 x}{x ^{2} - 1} d x

\frac{\partial}{\partial x} (x^{2} ln (x y))

\frac{d}{d x} (12 x^{2} - 12 x)