JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

The total number of local maxima and local minima of the function

f(x) =

is

Answer: (C)

Solution

Continuity at : , , . So is continuous on .

- On : (except at , where it is only a stationary point of inflection), so increases up to the value at

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Question ID VK-110664