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Question
If f (x) = | x − a | ϕ (x), where ϕ (x) is continuous function, then
Options
f' (a+) = ϕ (a)
f' (a−) = −ϕ (a)
f' (a+) = f' (a−)
none of these
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Solution
\[f'\left( a^- \right) = - \phi\left( a \right)\]
Here,
Also,
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