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Question

Let a function f(x)=2x3+5 is defined in [1,1]. Then the extremum value(s) of f is/are

A
3
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B
5
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C
7
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D
f(x) has no extremum point.
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Solution

The correct option is C 7
Plotting the graph of f(x):

as domain is [1,1].

We can see that, f(1)<f(1+h) as h0+
So, f(x) has local minimum at x=1
f(1)=2+5=3 and
f(1)>f(1h) as h0+
So, f(x) has local maximum at x=1
f(1)=7

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