MEDIUM
JEE Main/Advance
IMPORTANT
Earn 100

Let fx=3-x0x<1x2+lnbx1. Find the set of values of b such that fx has a local minima at x=1.

Important Questions on Application of Derivatives

MEDIUM
JEE Main/Advance
IMPORTANT

Find the points of local maxima/minima of following functions fx=2x3-21x2+36x-20.

EASY
JEE Main/Advance
IMPORTANT
Find the points of local maxima/minima of following functions fx=x lnx.
MEDIUM
JEE Main/Advance
IMPORTANT
Find points of local maxima/minima of fx=2x-12x-22.
EASY
JEE Main/Advance
IMPORTANT
Find points of local maxima/minima of fx=x2e-x.
EASY
JEE Main/Advance
IMPORTANT
Find points of local maxima/minima of fx=2x+3x2/3.
HARD
JEE Main/Advance
IMPORTANT

Find points of local maxima/minima of fx=x2-2x2-1.

MEDIUM
JEE Main/Advance
IMPORTANT
Draw graph of fx=x|x-2|, and hence find the points of local maxima/minima.
EASY
JEE Main/Advance
IMPORTANT
Find the absolute maximum/minimum value of function f(x)=x3 ;x[-2,2].