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AP EAMCET · Maths · Differentiation

f(x)=x2+1;g(x)=x+1x2+1;h(x)=2x-3. Then the value of f'h'g'(x)=

  1. A 5
  2. B 25
  3. C 52
  4. D 15
Verified Solution

Answer & Solution

Correct Answer

(B) 25

Step-by-step Solution

Detailed explanation

Given that f(x)=x2+1;g(x)=x+1x2+1;h(x)=2x-3 By using Chain rule f'x = 2x2x2+1 = xx2+1 By using Quotient rule g'x = x2+11-x2xx2+12 = x3-2x2+1x2+12 h'x = 2 f'h'g'x = f'h'x3-2x2+1x2+12 =f'2 =222+1 = 25