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TS EAMCET · Maths · Differentiation

If afx+bf1x=x+1, and ddxx2fx=2x2+2x+13, then a-b=

  1. A 2
  2. B 3
  3. C 0
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(B) 3

Step-by-step Solution

Detailed explanation

Given afx+bf1x=x+1   ...i Replacing x→1x, we get af1x+bfx=1x+1   ...ii a×i-b×ii, we get a2fx+abf1x-abf1x+b2fx=ax+a-bx-b a2-b2fx=ax-bx+a-b fx=ax-bxa2-b2+1a+b Now, ddxx2fx=ddxx2ax-bxa2-b2+1a+b =ddxax3-bxa2-b2+x2a+b=3ax2-ba2-b2+2xa+b…