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JEE Main2011MathematicsDifferentiationActual

d^2 x d y^2 equals

Options

  1. A- ( d^2 y d x^2 )⁻¹ ( d y d x )⁻³
  2. B( d^2 y d x^2 ) ( d y d x )⁻²
  3. C- ( d^2 y d x^2 ) ( d y d x )⁻³
  4. D( d^2 y d x^2 )⁻¹

Correct answer

C. - ( d^2 y d x^2 ) ( d y d x )⁻³

Step-by-step solution

d d y ( d x d y )= d d y ( 1 ( d y d x ) )=- 1 ( d y d x )^2 d d y ( d y d x )^2=- ( d y d x )⁻² 1 ( d y d x ) d d x ( d y d x )=- ( d^2 y d x^2 ) ( d y d x )⁻³

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