Continuous Calculus-2

Calculus Level pending

True or False

Suppose \(f\) is a real-valued continuous function defined on \([−2, 2]\) and is three times differentiable in \((−2, 2)\).

If \(f(2) = −f(−2) = 4\) and \(f'(0)=0\), then there exists \(x \in (−2, 2)\) such that \(f'''(x) ≥ 3\)

Note: \(f'''(x)\) means differentiated three time w.r.t \(x\)

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