JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

The function

f(x)=3 \cos ^4 x+10 \cos ^3 x+6 \cos ^2 x-3

0 \leq x \leq \pi

View answer and explanation

Correct option: B

increasing in

\left(\frac{\pi}{2}, \frac{2 \pi}{3}\right)

Option B is correct because the first derivative of the function is positive in the interval (

\frac{{\pi}}{{2}}

\frac{{2 \pi}}{{3}}

), indicating that the function is increasing in that interval.

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