If m and M are the minimum and the maximum values of 4+ 12 ^22x-2 ^4x, x R, then M - m is equal to:

JEE Main 2016 Mathematics question

If and are the minimum and the maximum values of , , then is equal to:

Answer: (2)

Express everything in terms of . Using ,

2x = = , 122x = .

Therefore

f = 4 + - = 4 - 2x - 2x.

Putting \cos$2x \

Create a free account to read the complete working (7 steps), and practise questions like this in a timed test.

Question ID VK-115560