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KCET2021MathematicsDifferentiation

If y= ( x² )² , then d y d x is equal to

Options

  1. A-4 x 2 x²
  2. B-x x²
  3. C-2 x 2 x²
  4. D-x 2 x²

Correct answer

C. -2 x 2 x²

Step-by-step solution

y= ( x² )² On differentiating w.r.t. x , we get aligned d y d x &=2 x² d d x ( x² ) &=2 x² (- x² ) d d x (x² ) &=-4 x x² x² &=-2 x 2 x² aligned

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