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人気のある微分積分 >

derivative 12x^3+24x^2

解

導関数

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

解

36 x^{2} + 48 x

解答ステップ

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

和/差の法則を適用:

(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

グラフ

人気の例

(\partial)/(\partial y)(x^2-4xy+4y^2+2)

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

sum from n=1 to infinity of cos(2/n)

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

limit as x approaches 1+of 7/(x^3-1)

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

x(dy)/(dx)+3y=2x^5,y(2)=7

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

勾配 (83)(8-7)

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