derivative x^2+6x-3

解答

导数

x^{2} + 6 x - 3

2 x + 6

求解步骤

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

使用微分加减法定则:

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

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

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

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (3) = 0

= 2 x + 6 - 0

化简

= 2 x + 6

49 y^{^{''}} + 42 y^{^{'}} + 9 y = 0, y (0) = a, y^{^{'}} (0) = 2

a re a x = \frac{( y - 3 ) ^{2}}{3}, y = 9 - x

7 x y \frac{d y}{d x} = 2

12 = \frac{( 33000 ) d y}{d t} + \frac{1}{22 \cdot 1 0 ^{- 6}} y

h \to 0 lim (\frac{3}{3 h + 1 + 1})