Manipal Entrance Test 2020 Math Paper

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Question : 15 of 70

Marks: +1, -0

Let

f(x)=|

sin‌3‌x

1

2(cos‌

3x

2

+sin‌

3x

2

)2

cos‌3‌x

−1

2(cos2‌

3x

2

−sin2‌

3x

2

)

tan‌3‌x

4

1+2‌tan‌3‌x

|

Then, the value of f′(x) at x=(2n+1)π,n∈I (the set of integers) is equal to

(−1)n
(−1)n+1
3
9

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