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JEE Advanced2007MathematicsDifferentiationActual

d^2 x d y^2 equals

Options

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

Correct answer

D. - ( d^2 y d x^2 ) ( d y d x )⁻³

Step-by-step solution

Since, aligned d d y ( d x d y ) & = d d x ( d y d x )⁻¹ d x d y d^2 x d y^2 & =- ( d^2 y d x^2 ) ( d y d x )⁻² ( d x d y ) & =- ( d^2 y d x^2 ) ( d y d x )⁻³ aligned

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