derivative 7x^2-x^3

解答

导数

7 x^{2} - x^{3}

14 x - 3 x^{2}

求解步骤

\frac{d}{d x} (7 x^{2} - x^{3})

使用微分加减法定则:

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

= \frac{d}{d x} (7 x^{2}) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (7 x^{2}) = 14 x

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

= 14 x - 3 x^{2}

\frac{\partial}{\partial y} (x^{2} e^{- y})

x \to 0 lim ((1 - x)^{\frac{1}{x}})

\frac{d}{d t} (- s t)

d er i v a t i v e (u^{- 2} + u^{- 3}) (u^{5} - 4 u^{2})

y^{^{'}} = (\frac{y + 3}{4 x + 5})^{3}