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Question

Let f(x)=sin1x+2tan1x+x55x4+5x3+1. Then

A
maximum value of f(x) is π+2
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B
minimum value of f(x) is 3π26
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C
maximum value of f(x) is 3π2+6
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D
minimum value of f(x) is π10
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Solution

The correct options are
A maximum value of f(x) is π+2
D minimum value of f(x) is π10
Domain of f is [1,1]
f(x)=sin1x+2tan1x+x55x4+5x3+1
f(x)=11x2+21+x2+5x420x3+15x2
=11x2+21+x2+5x2(x1)(x3)>0, x(1,1)

f(1)=π+2
and f(1)=π10

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