EASY
JEE Main/Advance
IMPORTANT
Earn 100

Find the points of local maxima/minima of following functions .

Important Questions on Application of Derivatives
HARD
JEE Main/Advance
IMPORTANT
Find the points of local maxima/minima of following function:

HARD
JEE Main/Advance
IMPORTANT
Let . Find all possible real values of such that has the smallest value at .

HARD
JEE Main/Advance
IMPORTANT
A cubic vanishes at & has relative minimum/maximum at and
If find the cubic .

HARD
JEE Main/Advance
IMPORTANT
A rectangular sheet of poster has its area . The margin at the top & bottom are and at the sides What are the dimensions of the poster, if the area of the printed space is maximum?

MEDIUM
JEE Main/Advance
IMPORTANT
If has a turning value at , then find and 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 . & altitude ? 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 .

HARD
JEE Main/Advance
IMPORTANT
Of all the lines tangent to the graph of the curve find the equations of the tangent lines of minimum andmaximum slope.
