If f x = x x 2 x 3 1 2 x 3 x 2 0 2 6 x , then the ratio f '' ( x )   :   f ' ( x ) =

If fx=xx2x312x3x2026x, then the ratio f''(x) : f'(x)=
  1. 2: x
  2. x2:x
  3. 3 x: 2
  4. 6: x

Solution

if fx=fx=xx2x312x3x2026x

f'x=12x3x212x3x2026x+xx2x3026x026x+xx2x312x3x2006

=0+0+xx2x312x3x2006

=6x2

f''x=12x

f''(x):f'(x)

=12x:6x2

=2:x

Asked in: AP EAMCET 2021 (20 Aug Shift 2)

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