A differentiable function f(x) has a rel...

A differentiable function `f(x)` has a relative minimum at `x=0.` Then the function `f=f(x)+a x+b` has a relative minimum at `x=0` for (a)all `a` and all`b` (b) all `b` if `a=0` (c)all `b >0` (d) all `a >0`

A

all a and all b

B

all b if a=0

C

all b gt 0

D

all a gt 0

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The correct Answer is:

B

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