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23 September, 04:26

Prove, using the second derivative, that the general quadratic y = ax^2+bx+c, is:

a) always convex when a>0

b) always concave when a <0

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  1. 23 September, 04:53
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    dy/dx = 2ax + b

    d²y/dx² = 2a

    2a < 0

    When a < 0

    (So concave)

    2a > 0

    When a > 0

    (So convex)
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