Question

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Answer 1

Question:

If f(x) is a differentiable function and g(x) is a double differentiable function such that |f(x)| ≤ 1 and f'(x) =g(x). If f^2(0)+g^2(0) = 9. Prove that there exists some c∈(–3,3) such that g(c). g''(c) < 0.

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