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MHT CET2007MathematicsDifferentiation

If x= (t), y= (t) , then d² y d x² is equal to

Options

  1. A^ ^ - ^ ^ ( ^ )²
  2. B^ ^ - ^ ^ ( ^ )³
  3. C^ ^
  4. D^ ^

Correct answer

B. ^ ^ - ^ ^ ( ^ )³

Step-by-step solution

We have, x= (t), y= (t) array l d y d x = d y / d t d x / d t = ^ ^ d² y d x² = d d x ( ^ ^ )= d d t ( ^ ^ ) d t d x = ^ ^ - ^ ^ ( ^ )² 1 ^ = ^ ^ - ^ ^ ( ^ )³ array

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