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NDA2020MathematicsDifferentiationActual

What is the derivative of ⁻¹ x with respect to ⁻¹ x ?

Options

  1. A-1
  2. B1
  3. C1 x^2+1
  4. Dx x^2+1

Correct answer

A. -1

Step-by-step solution

Let y= ⁻¹ x ; and z= ⁻¹ x Then, d y d x = 1 1+x^2 and d z d x =- 1 1+x^2 Now, d y d z = d y d x d z d x = 1 1+x^2 - ( 1 1+x^2 ) =-1 .

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