Maxima and Minima

Author:Embibe Experts
AP EAPCET
IMPORTANT

Important Questions on Maxima and Minima

HARD
IMPORTANT

Find the equation of a line passing through the point (4,3), which cuts a triangle of minimum area from the first quadrant.

HARD
IMPORTANT

If the function fx=2x3-9ax2+12a2x+1, where a>0, attains its maximum and minimum at p and q respectively such that p2=q, then a equals

MEDIUM
IMPORTANT

Find the minimum value of 2 x+3 y when xy=6.

EASY
IMPORTANT

The stationary points of the curve y=8x2-x4-4 are____

MEDIUM
IMPORTANT

Find the positive value of 'a' for which the equality 2α+β=8 holds, where 'α' and 'β' are the points of maximum and minimum, respectively, of the function f(x)=2x3-9ax2+12a2x+1

HARD
IMPORTANT

If the curved surface area of right circular cylinder inscribed in a sphere of radius 22 cm is maximum then height of the cylinder will be

MEDIUM
IMPORTANT

If p and q are respectively the global maximum and global minimum of the function f(x)=x2e2x on the interval [-2,2], then pe-4+qe4=

HARD
IMPORTANT

The curve f(x)=exsinx is defined in the interval [0,2π]. The value of x for which the slope of the tangent drawn to the curve at x is maximum, is

HARD
IMPORTANT

The difference between the greatest and least values of the function f(x)=-x+sin2x on -π2,π2 is