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KCET2015MathematicsInverse Trigonometric Functions

If ( y=f (x²+2 ) ) and ( f^ (3)=5 . ) then ( d y d x ) at ( x=1 ) is

Options

  1. A( 05 )
  2. B(15)
  3. C( 15 )
  4. D( 10 )

Correct answer

D. ( 10 )

Step-by-step solution

Given that, y= f (x²+2 ) (1) and f ^ (3)=5 (2) Now, d y d x = f ^ (x²+2 )(2 x) At x=1 , we get . d y d x |_ x =1=f^ (1+2)(2)=2 f(3)=2(5)=10

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