formal derivative

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formal derivative [‚fȯrm·əl də′riv·əd·iv]

(mathematics)

For a polynomial,a_nxⁿ+a_n-1x^n-1t⋯ +a₁x+a₀, where the coefficientsa₀,a₁,⋯,a_nare elements of a ring, the formal derivative is the polynomialna_nx^n-1+ (n-1)a_n-1x^n-2t … +a₁.

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