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MHT CET20242 May 2024Morning ShiftMathematicsTrigonometric EquationsActual

The length of the longest interval, in which the function 3 x-4 ^3 x is increasing, is

Options

  1. A3
  2. B2
  3. C3 2

Correct answer

A. 3

Step-by-step solution

aligned & f (x)=3 x-4 ^3 x & f (x)= 3 x & f ^ (x)=3 3 x aligned For f (x) to be increasing, aligned & f ^ (x) 0 & 3 3 x 0 & 3 x 0 & - 2 3 x 2 & - 6 x 6 aligned largest length in which f (x) is increasing = 6 - ( - 6 )= 3

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