EASY
JEE Main/Advance
IMPORTANT
Earn 100

Find the points of local maxima/minima of following functions fx=x lnx.

Important Questions on Application of Derivatives

HARD
JEE Main/Advance
IMPORTANT

Find the points of local maxima/minima of following function:

y=3x2+4x+4x2+x+1

HARD
JEE Main/Advance
IMPORTANT
Let fx=x3+b3b2+b1b2+3b+2;0x<12x-3;1x3. Find all possible real values of b such that fx has the smallest value at x=1.
HARD
JEE Main/Advance
IMPORTANT
A cubic f(x) vanishes at x=-2 & has relative minimum/maximum at x=-1 and x=13
If -11fxdx=143 find the cubic f(x).
HARD
JEE Main/Advance
IMPORTANT
A rectangular sheet of poster has its area 18 m2. The margin at the top & bottom are 75 cm and at the sides 50 cm. What are the dimensions of the poster, if the area of the printed space is maximum?
MEDIUM
JEE Main/Advance
IMPORTANT
If y=ax+b(x-1)(x-4) has a turning value at (2,-1), then find a and b and  show that the turning value is a minima.
MEDIUM
JEE Main/Advance
IMPORTANT
What are the dimensions of the rectangular plot of the greatest area which can be laid out within a triangle of base 36 ft. & altitude 12 ft? Assume that one side of the rectangular lies on the base of the triangle.
HARD
JEE Main/Advance
IMPORTANT
For a given curved surface of a right circular cone when the volume is maximum, prove that the semi vertical angle is sin-113.
HARD
JEE Main/Advance
IMPORTANT
Of all the lines tangent to the graph of the curve y=6x2+3, find the equations of the tangent lines of minimum andmaximum slope.