derivative of-x^3+5x^2-8x

解答

\frac{d}{d x} (- x^{3} + 5 x^{2} - 8 x)

- 3 x^{2} + 10 x - 8

求解步骤

\frac{d}{d x} (- x^{3} + 5 x^{2} - 8 x)

使用微分加减法定则:

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

= - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (8 x)

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

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

\frac{d}{d x} (8 x) = 8

= - 3 x^{2} + 10 x - 8

\frac{d}{d x} (1 - e^{- 0.1 x})

s l o p e (4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3} (- 1.1)

\int_{2}^{3} \frac{2 x - 3}{4 x - x ^{2}} d x

y^{^{''}} + 2 y = sin (2 x)

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