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KCET2009MathematicsDifferentiation

If y= ^ n x n x , then d y d x is

Options

  1. An ^ n-1 x (n+1) x
  2. Bn ^ n-1 x (n-1) x
  3. Cn ^ n-1 x n x
  4. Dn ^ n-1 x (n+1) x

Correct answer

D. n ^ n-1 x (n+1) x

Step-by-step solution

Given, y = ^ n x nx aligned d y d x &=n ^ n-1 x x n x-n ^ n x n x &=n ^ n-1 x[ x n x- x n x] &=n ^ n-1 x (n+1) x aligned

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