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Beliebt Rechnen >

derivative of 2+|x-3|

Lösung

\frac{d}{d x} (2 + ∣ x - 3 ∣)

Lösung

\frac{x - 3}{∣ x - 3 ∣}

Schritte zur Lösung

\frac{d}{d x} (2 + ∣ x - 3 ∣)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (∣ x - 3 ∣)

\frac{d}{d x} (2) = 0

\frac{d}{d x} (∣ x - 3 ∣) = \frac{x - 3}{∣ x - 3 ∣}

= 0 + \frac{x - 3}{∣ x - 3 ∣}

Vereinfache

= \frac{x - 3}{∣ x - 3 ∣}

Graph

Beliebte Beispiele

integral of 7/(x-6)

\int \frac{7}{x - 6} d x

integral of-x+5

\int - x + 5 d x

derivative of ln(2x^3)

\frac{d}{d x} (ln (2 x^{3}))

(\partial)/(\partial x)((y^2)/(x+y))

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

derivative of (sin(xcos(x))/(2x^2))

\frac{d}{d x} (\frac{sin ( x ) cos ( x )}{2 x ^{2}})