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KCET2014MathematicsComplex Number

If ( y=(1+x) (1+x² ) (1+x⁴ ) ), then ( d y d x ) at ( x=1 ) is

Options

  1. A( 28 )
  2. B( 00 )
  3. C( 20 )
  4. D( 11 )

Correct answer

A. ( 28 )

Step-by-step solution

Given that, y=(1+x) (1+x² ) (1+x⁴ ) d y d x =(1+x) (1+x² ) 4 x³+ (1+x² ) (1+x⁴ )+ (1+x⁴ )(1+x) 2 x At x=1 , we have . d y d x |_ x =1=16+4+8=28 .=1+1² ) 4+(1+1)(1+1)+(1+1)(1+1) 2

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