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derivative h(x)=(x^2-3)^3

解答

导数

h (x) = (x^{2} - 3)^{3}

解答

6 x (x^{2} - 3)^{2}

求解步骤

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

使用连锁律:

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

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

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

= 3 (x^{2} - 3)^{2} \cdot 2 x

化简

= 6 x (x^{2} - 3)^{2}

作图

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