derivative of 4x^3-5x^2+3x-5

解答

\frac{d}{d x} (4 x^{3} - 5 x^{2} + 3 x - 5)

12 x^{2} - 10 x + 3

求解步骤

\frac{d}{d x} (4 x^{3} - 5 x^{2} + 3 x - 5)

使用微分加减法定则:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (3 x) - \frac{d}{d x} (5)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (5 x^{2}) = 10 x

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

\frac{d}{d x} (5) = 0

= 12 x^{2} - 10 x + 3 - 0

化简

= 12 x^{2} - 10 x + 3

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

x y^{^{'}} + 36 y = \frac{1}{x}

a re a sin (x), cos (x), [0, \frac{π}{4}]

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

\int 5 d x