derivative of (3x^6-2x^4^4)

解答

\frac{d}{d x} ((3 x^{6} - 2 x^{4})^{4})

4 (3 x^{6} - 2 x^{4})^{3} (18 x^{5} - 8 x^{3})

求解步骤

\frac{d}{d x} ((3 x^{6} - 2 x^{4})^{4})

使用连锁律:

4 (3 x^{6} - 2 x^{4})^{3} \frac{d}{d x} (3 x^{6} - 2 x^{4})

= 4 (3 x^{6} - 2 x^{4})^{3} \frac{d}{d x} (3 x^{6} - 2 x^{4})

\frac{d}{d x} (3 x^{6} - 2 x^{4}) = 18 x^{5} - 8 x^{3}

= 4 (3 x^{6} - 2 x^{4})^{3} (18 x^{5} - 8 x^{3})

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