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NDA2019MathematicsDifferentiationActual

What is the derivative of ^2 ( ⁻¹ x ) with respect to x ?

Options

  1. A2 x
  2. Bx^2+1
  3. Cx +1
  4. Dx^2

Correct answer

A. 2 x

Step-by-step solution

Let y = ^2 ( ⁻¹ x ) aligned & Let ⁻¹ x= x= & y= ^2 =1+ ^2 =1+x^2 & d y d x = d d x (1+x^2 )=2 x aligned

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