展开 f'(x)((-6+9x)(-9-9x^2-6x^3))

解答

展开

f^{'} (x) ((- 6 + 9 x) (- 9 - 9 x^{2} - 6 x^{3}))

- 54 x^{4} f' (x) - 45 x^{3} f' (x) + 54 x^{2} f' (x) - 81 x f' (x) + 54 f' (x)

求解步骤

f^{'} (x) ((- 6 + 9 x) (- 9 - 9 x^{2} - 6 x^{3}))

去除括号:

(a) = a

= f^{^{'}} (x) (- 6 + 9 x) (- 9 - 9 x^{2} - 6 x^{3})

乘开

(- 6 + 9 x) (- 9 - 9 x^{2} - 6 x^{3}) : - 54 x^{4} - 45 x^{3} + 54 x^{2} - 81 x + 54

= f^{'} (x) (- 54 x^{4} - 45 x^{3} + 54 x^{2} - 81 x + 54)

乘开

f^{'} (x) (- 54 x^{4} - 45 x^{3} + 54 x^{2} - 81 x + 54) : - 54 x^{4} f^{'} (x) - 45 x^{3} f^{'} (x) + 54 x^{2} f^{'} (x) - 81 x f^{'} (x) + 54 f^{'} (x)

= - 54 x^{4} f^{'} (x) - 45 x^{3} f^{'} (x) + 54 x^{2} f^{'} (x) - 81 x f^{'} (x) + 54 f^{'} (x)

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