derivative (sqrt(1-x))/2

解答

导数

\frac{1 - x}{2}

- \frac{1}{4 1 - x}

求解步骤

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

将常数提出:

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

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

使用连锁律:

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

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

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

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

化简

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

= - \frac{1}{4 1 - x}

(x 1 + y^{2}) d x - x^{2} d y = 0

\int \frac{4}{( x ^{2} ) ( x ^{2} + 4 )} d x

a re a 2 x^{2}, 8 x^{2}, 5 - 3 x

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

d er i v a t i v e f (x) = (3 x - 2) (4 x^{3} - x^{2} + 1)