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in Limit, continuity and differentiability by (41.7k points)

Let f(x) = {(xeax, x ≤ 0), (x + ax2 - x3, x > ), where a is positive constant and the interval in which f′(x) is increasing is (-λ1/a, a/λ2), then find (λ1λ2).

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Best answer

Also f is continuous at 0.

Therefore, f(x) is increasing in (-2/a, a/3)

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