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人気のある微分積分 >

derivative of 12x^3+6x^2+2x

解

\frac{d}{d x} (12 x^{3} + 6 x^{2} + 2 x)

解

36 x^{2} + 12 x + 2

解答ステップ

\frac{d}{d x} (12 x^{3} + 6 x^{2} + 2 x)

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

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

\frac{d}{d x} (6 x^{2}) = 12 x

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

= 36 x^{2} + 12 x + 2

グラフ

人気の例

derivative f(x)=sqrt(3x^2+2)

d er i v a t i v e f (x) = 3 x^{2} + 2

inverselaplace 7/(s^4)

in v erse l a pl a ce \frac{7}{s ^{4}}

integral of xtan^3(x^2)

\int x tan^{3} (x^{2}) d x

y^{''}+6y^'+6y=0

y^{^{''}} + 6 y^{^{'}} + 6 y = 0

y^{^{'}} = 2 t, y (0) = 1