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NDA2018MathematicsDifferentiationActual

If y = e ^ x ^2 2 x , then what is dy dx at x = equal to?

Options

  1. A(1+ ) e ^ ^2
  2. B2 e ^ ^2
  3. C2 e ^ ^2
  4. De ^ ^2

Correct answer

C. 2 e ^ ^2

Step-by-step solution

aligned & y=e^ x^2 2 x & d y d x =2 e^ x^2 2 x+2 x e^ x^2 2 x & =2 e^ x^2 ( 2 x+x 2 x) & . d y d x |_ x= =2 e^ ^2 ( 2 + 2 ) & =2 e^ ^2 (1+0)=2 e^ ^2 aligned

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