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 f2(0)+g2(0)=9 . Prove that there exists some c∈(–3,3) such that g(c).g''(c)<0. False answers not accepted

Answer 1

Answer:

THIS question was from JEE Advance and the answer is true.

I will send you the proof in dm

Answer 2

Answer:

True

The answer is true. But it will take 20mins to solve