List of top Higher Mathematics Questions on Application of derivatives asked in MPBSE Class XII Board

Find local maximum and local minimum values of the function given by \[ f(x) = 3x^4 + 4x^3 - 12x^2 + 12 \]
Find the interval in which the function given by \[ f(x) = x^2 - 4x + 6 \] is decreasing.