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AP EAMCET · Maths · Differentiation

If x0 and fx satisfies 8fx+6f1x=x+5, then ddxx2fx at x=1 is

  1. A -114
  2. B 2514
  3. C 914
  4. D 1914
Verified Solution

Answer & Solution

Correct Answer

(A) -114

Step-by-step Solution

Detailed explanation

We have, 8fx+6f1x=x+5⇒f-1=27 Differentiating on both sides 8f'x-6x2f'1x=1 Put x=-1⇒f'-1=12 Now differentiating y=x2fx we get, dydx=2xfx+x2f'x at x=-1,dydx=2-1×27+-1212=-114