Question:medium
The function
\[
f(x)=\sin 2x+2\cos x,\qquad x\in\left(-\frac{3\pi}{4},\frac{3\pi}{4}\right)
\]
has:
The function
\[
f(x)=\sin 2x+2\cos x,\qquad x\in\left(-\frac{3\pi}{4},\frac{3\pi}{4}\right)
\]
has:
Show Hint
A point where \(f'(x)=0\) but no sign change in monotonicity occurs is not an extremum —
always check the second derivative or sign of \(f'(x)\).
Updated On: Mar 5, 2026
- no critical point
- a point of local maxima and a point of local minima
- a point of local maxima and a point of inflection
- a point of local minima and a point of inflection
Show Solution
The Correct Option is C
Solution and Explanation
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