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AP EAMCET · Maths · Differentiation

If fx=xx2x312x3x2026x, then the ratio f''(x) : f'(x)=

  1. A 2: x
  2. B x2:x
  3. C 3 x: 2
  4. D 6: x
Verified Solution

Answer & Solution

Correct Answer

(A) 2: x

Step-by-step Solution

Detailed explanation

if fx=fx=xx2x312x3x2026x f'x=12x3x212x3x2026x+xx2x3026x026x+xx2x312x3x2006 =0+0+xx2x312x3x2006 =6x2 f''x=12x f''(x):f'(x) =12x:6x2 =2:x