JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Analyzing +4 | -1

If a differentiable function

f\left( x \right)

has a relative minimum at

x = 0

, then the function

\phi \left( x \right) = f\left( x \right) + ax + b

has a relative minimum at

x = 0

for

View answer and explanation

Correct option: B

All b if

a = 0

Option B (All b if a = 0) is correct because if a=0, the derivative of φ(x) at x=0 is determined by f'(x), which has a relative minimum at x=0.

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