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NDA2018MathematicsDifferentiationActual

If y=| x|^ |x| , then what is the value of d y d x at x= 6 ?

Options

  1. A2^ - 6 (6 2- 3 ) 6
  2. B2^ 6 (6 2+ 3 ) 6
  3. C2^ - 6 (6 2+ 3 ) 6
  4. D2^ 6 (6 2- 3 ) 6

Correct answer

A. 2^ - 6 (6 2- 3 ) 6

Step-by-step solution

aligned & y=(- x)^ -x & d y d x =(- )^ -x [ x x (- x)+ (- x) (-1) ] & [ d y d x ] x=- 6 = ( 1 2 )^ / 6 [- 6 3 - 1 2 ] & =2^ - / 6 ( 6 2- 3 6 ) aligned

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