derivative 12x^3+24x^2

解答

导数

12 x^{3} + 24 x^{2}

36 x^{2} + 48 x

求解步骤

\frac{d}{d x} (12 x^{3} + 24 x^{2})

使用微分加减法定则:

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

= \frac{d}{d x} (12 x^{3}) + \frac{d}{d x} (24 x^{2})

\frac{d}{d x} (12 x^{3}) = 36 x^{2}

\frac{d}{d x} (24 x^{2}) = 48 x

= 36 x^{2} + 48 x

\frac{\partial}{\partial y} (x^{2} - 4 x y + 4 y^{2} + 2)

n = 1 \sum \infty cos (\frac{2}{n})

x \to 1 + lim (\frac{7}{x ^{3} - 1})

x \frac{d y}{d x} + 3 y = 2 x^{5}, y (2) = 7

s l o p e (83) (8 - 7)