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If \( f^{\prime}(x)=\tan ^{-1}(\sec x+\tan x),-\frac{\pi}{2} [JEE Main 2020, 9 Jan (Shift 1)]

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If \( f^{\prime}(x)=\tan ^{-1}(\sec x+\tan x),-\frac{\pi}{2}

[JEE Main 2020, 9 Jan (Shift 1)]

a

\( \frac{1}{4} \)

b

\( \frac{\pi+2}{4} \)

c

\( \frac{\pi-1}{4} \)

d

\( \frac{\pi+1}{4} \)

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