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MathematicsMathematics
5 August, 05:34

Find

f. f '' (x) = - 2 + 36x - 12x2, f (0) = 2, f ' (0) = 18

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  1. 5 August, 05:56
    0
    F'' (x) = - 2+36x-12x^2, f (0) = 2, f' (0) = 18

    f' (x) = - 2x+18x^2-4x^3+c

    f' (0) = - 2 (0) + 18 (0) ^2-4 (0) ^3+c=18

    f' (0) = 18x^2-4x^3-2x+18

    f (x) = 6x^3-x^4-x^2+18x+c

    f (0) = 6 (0) ^3 - (0) ^4 - (0) ^2+18 (0) + c=2

    f (x) = 6x^3-x^4-x^2+18x+2
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