# 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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