For a differentiable function

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

For a differentiable function qq, tangent-line approximations built at every point of the interval [1,3][1,3] give values that are greater than the corresponding function values. What can you conclude about the sign of q′′(x)q''(x) on (1,3)(1,3)? Provide your answer with a brief justification.

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