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人気のある微分積分 >

derivative f(x)=5x^4-6x^2+1

解

導関数

f (x) = 5 x^{4} - 6 x^{2} + 1

解

20 x^{3} - 12 x

解答ステップ

\frac{d}{d x} (5 x^{4} - 6 x^{2} + 1)

和/差の法則を適用:

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

= \frac{d}{d x} (5 x^{4}) - \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (1)

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

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

\frac{d}{d x} (1) = 0

= 20 x^{3} - 12 x + 0

簡素化

= 20 x^{3} - 12 x

グラフ

人気の例

(\partial)/(\partial x)(2xy-3)

\frac{\partial}{\partial x} (2 x y - 3)

(\partial)/(\partial x)(4/((x+2)^2))

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

テイラー 4/x ,3

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\int_{1}^{b} \frac{1}{( x + 6 ) ^{2}} d x