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JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Analyzing +4 | -1
The number of critical points for the function
f(x)=13sin⁡θtan⁡3x+(sin⁡θ−1)tan⁡x+θ−28−θf(x)=\frac{1}{3} \sin \theta \tan ^3 x+(\sin \theta-1) \tan x+\sqrt{\frac{\theta-2}{8-\theta}}
where π<θ<2π\pi<\theta<2 \pi is
View answer and explanation
Correct option: D
0
Option D (0) is correct because the function has no critical points, implying no extrema.

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