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人気のある微分積分 >

derivative f(x)=sqrt(5x+x^2)

解

導関数

f (x) = 5 x + x^{2}

解

\frac{5 + 2 x}{2 5 x + x ^{2}}

解答ステップ

\frac{d}{d x} (5 x + x^{2})

連鎖法則を適用:

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

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

\frac{d}{d x} (5 x + x^{2}) = 5 + 2 x

= \frac{1}{2 5 x + x ^{2}} (5 + 2 x)

簡素化

\frac{1}{2 5 x + x ^{2}} (5 + 2 x) : \frac{5 + 2 x}{2 5 x + x ^{2}}

= \frac{5 + 2 x}{2 5 x + x ^{2}}

グラフ

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