List of top Mathematics Questions on Maxima and Minima asked in AP EAMCET

If \( M_1 \) and \( M_2 \) are the maximum values of \( \frac{1}{11 \cos 2x + 60 \sin 2x + 69} \) and \( 3 \cos^2 5x + 4\sin^2 5x \) respectively, then \( \frac{M_1}{M_2} = \):
The minimum value of \(f(x)=x+\dfrac{4}{x+2}\) is
The condition that \(f(x)=ax^3+bx^2+cx+d\) has no extreme value is
The maximum value of
\[ f(x)=\frac{x}{1+4x+x^2} \] is
If $p$ and $q$ are respectively the global maximum and global minimum of the function $f(x) = x^2 e^{2x}$ on the interval $[-2, 2]$ , then $pe^{-4} + qe^4 = $
If the petrol burnt in driving a motor boat varies as the cube of the velocity, then the speed (in km hom ) of the boat going against a water flow of C kms hour so that the quantity of petrol burnt is minimum is