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NDA2019MathematicsDifferentiationActual

What is the derivative of 2^ ( x)^2 with respect to x ?

Options

  1. Ax 2^ ( x)^2 4
  2. B2 x 2^ ( x)^2 4
  3. CIn ( x) 2^ ( x)^2
  4. D2 x x 2^ ( x)^2

Correct answer

B. 2 x 2^ ( x)^2 4

Step-by-step solution

aligned & y=2^ ^2 x & y= ^2 x 2 & 1 y d y d x =2 x x 2 & d y d x =y x x 4 aligned Let x=4 aligned & d y d x = x & d y d x = n 4 x 2^ ^2 x x x & d y d x =2^ ^2 x x n 4 aligned

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