List of top Mathematics Questions on Local maxima and minima asked in CUET (UG)

Find the local maximum point of the function \[ f(x)=-x^3+3x+1 \]

Find the interval where the function \( f(x) = x^2 - 4x + 6 \) is strictly decreasing.

Find the local maximum of \[ f(x)=x^3-3x+2 \]

If \( f(x) = x^5 - 5x^3 + 5x^2 - 1 \), then the number of critical points of \( f(x) \) is:

The function \(f(x)= \frac{x^4}{4}-\frac{x^2}{2}\) has