# Doubt from application of derivative

#1

question 50...

#2

i m getting k=3 but really dnt have any answer...

#3

AITS Sneha ?

#4

may be my friend asked me.

#5

Yes k = 3 Sneha

#6

approch??

#7

Expanding the integral and differentiate ,set it to zero and get the maxima or minima condition

#8

i dnt think it will work i hve tried it before wrt to which u r going to diffrenciate...

#9

Well its works wait I will share

#10

Sneha, also what was your approach ?

#11

plz explain a=2times wala concept..

#12

I will explain , can u show ur method too?

#13

if fx is monotonous functionin (a,b) then area bounded by y=f(x) x=a to x=b is minimum will occur at c=a+b/2...a nd b r limit of function..

#14

plz explain this work how u thought it..

#15

Well I am not getting what u r saying : see how by a+b/2 minimizes area?

will not area be constant actually ??

#16

For explanation see this :

. and pls share your way Sneha , I am not getting that thing u r saying ( will.not area be actually constant )??

#17

why u go for f inverse x why not by fx u cant get min value..

#18

Well the wanted area is easy to get in terms of inverse . u can try by f(x) as well Sneha but we want value of k , f inverse gives it directly . ( Share ur way Sneha )

#19
#20

Now got it. , previously u didn't right y= f(c) there Sneha .