derivative of (2-x(1-2x))

解答

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

4 x - 5

求解步骤

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

使用微分乘法定则:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 2 - x, g = 1 - 2 x

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

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

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

= (- 1) (1 - 2 x) + (- 2) (2 - x)

化简

(- 1) (1 - 2 x) + (- 2) (2 - x) : 4 x - 5

= 4 x - 5

\frac{d}{d x} (4 cot (\frac{1}{4} x))

\int (3 x + 1) cos (x) d x

in v erse l a pl a ce \frac{18}{s ^{2} + 5 s + 6} + \frac{6}{s}

\frac{d}{d x} ((\frac{x}{x ^{2} + 1})^{2})

x \to e lim (\frac{1}{2} ln (x))