derivative of |x-4|

解答

\frac{d}{d x} (∣ x - 4 ∣)

\frac{x - 4}{∣ x - 4 ∣}

求解步骤

\frac{d}{d x} (∣ x - 4 ∣)

使用连锁律:

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

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

\frac{d}{d x} (x - 4) = 1

= \frac{x - 4}{∣ ( x - 4 ) ∣} \cdot 1

化简

= \frac{x - 4}{∣ x - 4 ∣}

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