derivative 4sqrt(4-y)

解答

导数

4 4 - y

- \frac{2}{4 - y}

求解步骤

\frac{d}{d y} (4 4 - y)

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d y} (4 - y)

使用连锁律:

\frac{1}{2 4 - y} \frac{d}{d y} (4 - y)

= \frac{1}{2 4 - y} \frac{d}{d y} (4 - y)

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

= 4 \cdot \frac{1}{2 4 - y} (- 1)

化简

4 \cdot \frac{1}{2 4 - y} (- 1) : - \frac{2}{4 - y}

= - \frac{2}{4 - y}

\frac{\partial}{\partial w} (4 x^{3} - x y^{2} + 3 y - 7)

\frac{\partial}{\partial x} (e^{z^{2}} + y ln (x^{2} + 5))

\frac{d y}{d x} = \frac{y}{x} + 2 x + 3

\frac{d y}{d t} = (y + 1) (y - 3), y (0) = 1

x \to \frac{4}{3} lim (2 x^{2} - 4 x + 5)