(d^2)/(dx^2)((x^3+2x)^6)

解答

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

6 (5 (x^{3} + 2 x)^{4} (3 x^{2} + 2)^{2} + 6 x (x^{3} + 2 x)^{5})

求解步骤

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

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

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

\frac{d}{d x} (6 (x^{3} + 2 x)^{5} (3 x^{2} + 2)) = 6 (5 (x^{3} + 2 x)^{4} (3 x^{2} + 2)^{2} + 6 x (x^{3} + 2 x)^{5})

= 6 (5 (x^{3} + 2 x)^{4} (3 x^{2} + 2)^{2} + 6 x (x^{3} + 2 x)^{5})

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