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If 9+f"(x)+f'(x)=x^(2)+f^(2)(x) where f(...

If 9+f"(x)+`f'(x)=x^(2)+f^(2)(x)` where `f(x)` is twice differentiable function such that `f''(x)!=0AA x in R` and `P` be the point of maxima of `f(x)` , then find the number of tangents which can be drawn from `P` to the circle `x^(2)+y^(2)=9`

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