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Question

If f(x)=∣ ∣2cosx1002cosx1012cosx∣ ∣ then dfdx at x=π2 is

A
0
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B
2
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C
π2
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D
8
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Solution

The correct option is D 2
f(x)=∣ ∣2cosx1002cosx1012cosx∣ ∣
dfdx=∣ ∣2sinx0002cosx1012cosx∣ ∣+∣ ∣2cosx1002sinx0012cosx∣ ∣+∣ ∣2cosx1002cosx1002sinx∣ ∣
(dfdx)(x=π2)=∣ ∣200001010∣ ∣+∣ ∣010020010∣ ∣+∣ ∣010001002∣ ∣=2

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