derivative of (x^3/3-x^2+2)

解答

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

x^{2} - 2 x

求解步骤

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

使用微分加减法定则:

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

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

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

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

\frac{d}{d x} (2) = 0

= x^{2} - 2 x + 0

化简

= x^{2} - 2 x

x \to \infty lim (x + 1)

\frac{\partial}{\partial x} (- k p (x) gx)

d er i v a t i v e y = arcsin (x) - 1 - x^{2}

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x + 7})

t an g e n t f (x) = x + \frac{3}{x}, at x = 4