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MHT CET202611 April 2026Morning ShiftMathematicsDifferentiationActual

If y = (e^ 2x ) , then the value of dy dx at x = 2 is

Options

  1. A2
  2. B-2
  3. C1
  4. D-1

Correct answer

B. -2

Step-by-step solution

Given y = (e^ 2x ) Using the property e^ a = a , we get e^ 2x = 2x Therefore, y = (2x) Differentiating with respect to x , we get: dy dx = 2 (2x) Substituting x = 2 : dy dx = 2 (2 2 ) = 2 ( ) Since ( ) = -1 , we have: dy dx = 2(-1) = -2 Answer: -2

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