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9 March, 22:28

Which of these is a tangent line to y = - x^2 at x=4

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  1. 10 March, 02:04
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    Step-by-step explanation:

    an equation of this tangent is : y = f' (4) (x-a) + f (4)

    a = f' (4)

    f (x) = - x²

    a=4

    f' (x) = - 2x

    f' (4) = - 2 (4) = - 8

    f (4) = - (4) ² = - 16

    so : y = - 8 (x-4) - 16

    y = - 8x + 16
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