derivative sqrt(-5+3x^2)

解答

导数

- 5 + 3 x^{2}

\frac{3 x}{- 5 + 3 x ^{2}}

求解步骤

\frac{d}{d x} (- 5 + 3 x^{2})

使用连锁律:

\frac{1}{2 - 5 + 3 x ^{2}} \frac{d}{d x} (- 5 + 3 x^{2})

= \frac{1}{2 - 5 + 3 x ^{2}} \frac{d}{d x} (- 5 + 3 x^{2})

\frac{d}{d x} (- 5 + 3 x^{2}) = 6 x

= \frac{1}{2 - 5 + 3 x ^{2}} \cdot 6 x

化简

\frac{1}{2 - 5 + 3 x ^{2}} \cdot 6 x : \frac{3 x}{- 5 + 3 x ^{2}}

= \frac{3 x}{- 5 + 3 x ^{2}}

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