derivative of | x/3-1|

解答

\frac{d}{d x} (\frac{x}{3} - 1)

\frac{x - 3}{3 ∣ x - 3 ∣}

求解步骤

\frac{d}{d x} (\frac{x}{3} - 1)

使用连锁律:

\frac{\frac{x}{3} - 1}{( \frac{x}{3} - 1 )} \frac{d}{d x} (\frac{x}{3} - 1)

= \frac{\frac{x}{3} - 1}{( \frac{x}{3} - 1 )} \frac{d}{d x} (\frac{x}{3} - 1)

\frac{d}{d x} (\frac{x}{3} - 1) = \frac{1}{3}

= \frac{\frac{x}{3} - 1}{( \frac{x}{3} - 1 )} \cdot \frac{1}{3}

化简

\frac{\frac{x}{3} - 1}{\frac{x}{3} - 1} \cdot \frac{1}{3} : \frac{x - 3}{3 ∣ x - 3 ∣}

= \frac{x - 3}{3 ∣ x - 3 ∣}

\frac{\partial}{\partial x} (x^{3} e^{2 x y})

\int_{- 2}^{6} x^{2} 3 x + 2 d x

\int - \frac{4 cos ( t )}{3 - 10 sin ( t )} d t

\int (2 x - 5)^{\frac{1}{2}} d x

d er i v a t i v e \frac{2}{3 x}