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Question

The total number of local maxima and local minima of the function f(x)={(2+x)3,3<x1x2/3,1<x<2 is

A
0
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B
1
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C
2
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D
3
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Solution

The correct option is C 2
f(x)=(2+x)3,3=x2/3,1 f(x)=3(2+x)2,3=2/3x1/3,1, clearly x=2 is extremum and at x=1, f(x) is not differentiable
Hence there is 2 maximum or minimum point.

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