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99 Percentile Qs Bank for JEE MainMathematicsDifferentiation

If y=x^ n x+x( x)^ n , then d y d x is equal to

Options

  1. Ax^ n-1 (1+n x)+( x)^ n-1 [n+ x]
  2. Bx^ n-2 (1+n x)+( x)^ n-1 [n+ x]
  3. Cx^ n-1 (1+n x)+( x)^ n-1 [n- x]
  4. DNone of the above

Correct answer

A. x^ n-1 (1+n x)+( x)^ n-1 [n+ x]

Step-by-step solution

Given, y=x^ n x+x( x)^ n array c d y d x =n x^ n-1 x+x^ n 1 x +x n( x)^ n-1 ( 1 x ) +1 ( x)^ n =x^ n-1 (1+n x)+( x)^ n-1 [n+ x] array

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