If f: RvecRa n dg: RvecR are two functio...

If `f: RvecRa n dg: RvecR` are two functions such that `f(x)+f^(x)=-xg(x)f^(prime)(x)a n dg(x)>0AAx in Rdot` Then the function `f^2(x)+f('(x))^2` has a maxima at `x=0` a minima at `x=0` a point of inflexion at `x=0` none of these

A

a maxima at x = 0

B

a minima at x = 0

C

a point of inflection at x = 0

D

none of these

Verified by Experts

The correct Answer is:

A

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