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NDA2015MathematicsDifferentiationActual

The derivative of (x+ x) with respect to (x+ x) is

Options

  1. A1+ x (x+ x)(1- x)
  2. B1- x (x+ x)(1+ x)
  3. C1- x (x- x)(1+ x)
  4. D1+ x (x- x)(1- x)

Correct answer

A. 1+ x (x+ x)(1- x)

Step-by-step solution

aligned & (x+ x)=y & d y d x = 1 (x+ x) (1+ x) & = (1+ x) (x+ x) & x+ x=z( say ) & d z d x =(1- x) aligned (say) derivative of (x+ x) w.r.t (x+ x) is d y d z = (1+ x) (x+ x)(1- x)

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