derivative of 3x^2-4x+10

解答

\frac{d}{d x} (3 x^{2} - 4 x + 10)

6 x - 4

求解步骤

\frac{d}{d x} (3 x^{2} - 4 x + 10)

使用微分加减法定则:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (4 x) + \frac{d}{d x} (10)

\frac{d}{d x} (3 x^{2}) = 6 x

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

\frac{d}{d x} (10) = 0

= 6 x - 4 + 0

化简

= 6 x - 4

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

a re a y = x^{3} + x^{2} + x - 1, y = x^{3} + 5

\frac{d y}{d t} = 2 y + y^{5}, y (0) = 1

in v erse l a pl a ce \frac{- 1}{s + 1}

\int \frac{x - 3}{x ^{3} - 2 x ^{2} + 3 x} d x