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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If y = e^ x (x^3) + ( x)^x then dy dx may be equal to :

Options

  1. Ae^ x (x^3) [3x^3 (x^3) + (x^3)] + ( x)^x[ x + 2x cosec 2x]
  2. Be^ x (x^3) [x^3 (x^3) + (x^3)] + ( x)^x[ x + 2x cosec 2x]
  3. Ce^ x (x^3) [x^3 (x^3) + (x^3)] + ( x)^x[ x + 2 cosec 2x]
  4. De^ x (x^3) [3x^3 (x^3) + (x^3)] + ( x)^x [ x + x ^2 x x ]

Correct answer

A. e^ x (x^3) [3x^3 (x^3) + (x^3)] + ( x)^x[ x + 2x cosec 2x]

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