List of top Mathematics Questions on Maxima and Minima asked in BITSAT

Let $ f(x) = |x^2 - 4x + 3| + |x^2 - 5x + 6| $. The minimum value of $ f(x) $ is:
A wire 34 cm long is to be bent in the form of a quadrilateral of which each angle is 90^∘. What is the maximum area which can be enclosed inside the quadrilateral?
The curve y=xeˣ has minimum value equal to
The function \(f(x) = \frac{x}{2} + \frac{2}{x}\) has a local minimum at:

A wire 34 cm long is to be bent in the form of a quadrilateral of maximum area in which each angle is 90°. What is the maximum area enclosed?

The curve y=xeˣ has minimum value equal to
If \(a\) and \(b\) are non-zero roots of \(6x^2+ax+b=0\), then the least value of \(x^2+ax+b\) is
The function \(f(x)=\dfrac{x}{2}+\dfrac{2}{x}\) has local minimum at
The fuel charges for running a train are proportional to the square of the speed generated in miles per hour and cost $48 per hour at 16 miles per hour. The most economical speed if the fixed charges (i.e., salaries etc.) amount to $30 per hour is:
If \( a^2 x^4 + b^2 y^4 = c^4 \), then the maximum value of \( xy \) is
The minimum value of f(x)=sin⁴x+cos⁴x in the interval (0,(π)/(2)) is:
The function f(x)=2x³-3x²-12x+4 has: