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AP EAMCET201823 Apr 2018Evening ShiftMathematicsDifferentiationActual

If y= ₂ ( ₂ x ) , then d y d x =

Options

  1. A₂ e 2 x _e x
  2. B1 x _e x _e 2
  3. C1 _e(2 x)^x
  4. D1 ₂ e _e x

Correct answer

B. 1 x _e x _e 2

Step-by-step solution

Given, y= ₂ ( ₂ x ) y= _e ( _e x _e 2 ) _ e^2 On differentiating w.r.t. to ' x ', we are getting aligned d y d x & = 1 _e 2 _e x _e 2 1 x _e 2 d y d x & = 1 x _e x _e 2 . aligned

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