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Necessary Condition for an Extrema(Is a Function Differentiable at Boundaries)

If fx=[ |x|+1...

Question

If f(x) =.

For what value (s) of a does f(x) exists?

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Solution

The given function is

When a < 0,

When a > 0

Thus, exists for all a ≠ 0.

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Necessary Condition for an Extrema(Is a Function Differentiable at Boundaries)

Standard XII Mathematics

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