derivative of 4x-2y

解答

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

4 - 2 \frac{d y}{d x}

求解步骤

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

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (2 y) = 2 \frac{d y}{d x}

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

\frac{d y}{d x} - 2 x y = 6 x, y (0) = - 7

\frac{d}{d x} (7 - \frac{4}{x - 8} + \frac{2 x}{3 x + 1})

\int \frac{31}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

\int tan (6 x + 1) d x

\frac{d}{d x} ((- 2 x + 3 x^{- 2}) ln (x))