derivative of Insqrt(1-2x)

解答

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

- \frac{n I}{1 - 2 x}

求解步骤

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

将

n, I

视为常数

将常数提出:

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

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

使用连锁律:

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

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

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

= I n \frac{1}{2 1 - 2 x} (- 2)

化简

I n \frac{1}{2 1 - 2 x} (- 2) : - \frac{n I}{1 - 2 x}

= - \frac{n I}{1 - 2 x}

e x t re m e f (x) = - \frac{5}{x ^{2}}

e x t re m e \frac{e ^{3.4 x}}{x ^{3}}

e x t re m e f (x) = - x^{2} + x - 2

e x t re m e - 2 x^{3} + 3 x^{2}

e x t re m e f (x, y) = 2 x y - \frac{1}{2} (x^{4} + y^{4}) + 1