derivative f(x)=|x-2|

解答

导数

f (x) = ∣ x - 2 ∣

\frac{x - 2}{∣ x - 2 ∣}

求解步骤

\frac{d}{d x} (∣ x - 2 ∣)

使用连锁律:

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

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

\frac{d}{d x} (x - 2) = 1

= \frac{x - 2}{∣ ( x - 2 ) ∣} \cdot 1

化简

= \frac{x - 2}{∣ x - 2 ∣}

x \to - 1 lim (\frac{x + 3}{x + 1})

t an g e n t f (x) = 5 - x^{2}, at x = 1

d er i v a t i v e x^{2} - 7

x \to 4 + lim (\frac{3}{x - 4})

2 y^{^{'}} - y^{2} + 4 = 0