Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
the max value of (1+x) 0.6 /(1+x 0.6 ) in the interval [0, 1] is ? ans :1
When we put the value zero then (1+x)^0.6=1^0.6=1 and (1+x^0.6)=(1+0^0.6)=1 so (1+x)^0.6/(1+x^0.6)=1/1=1 when we put the value of x=1 (1+1)^0.6/(1+1^0.6)=2^0.6/(1+1)=2^0.6/2=2^(0.6-1)=2^-0.4=1/2^0.4 which is less than 1 now we see that when we put the value zero the answer is greater and when we put the value 1 the answer is less. this shows that in the interval from 0 to 1 the value of the above expression decreases. Hence the max value is 1.
When we put the value zero then
(1+x)^0.6=1^0.6=1 and (1+x^0.6)=(1+0^0.6)=1
so (1+x)^0.6/(1+x^0.6)=1/1=1
when we put the value of x=1
(1+1)^0.6/(1+1^0.6)=2^0.6/(1+1)=2^0.6/2=2^(0.6-1)=2^-0.4=1/2^0.4 which is less than 1
now we see that when we put the value zero the answer is greater and when we put the value 1 the answer is less.
this shows that in the interval from 0 to 1 the value of the above expression decreases. Hence the max value is 1.
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -