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NDA2019MathematicsDifferentiationActual

Paragraph: Consider the equation x^y=e^ x-y Question: What is d^2 y d x^2 at x=1 equal to?

Options

  1. A0
  2. B1
  3. C2
  4. D4

Correct answer

B. 1

Step-by-step solution

aligned & y^1= x-y x(1+ n x) & y¹¹= x(1+ n x) (1-y^1 )-(x-y)(1+1+ n x) x^2(1+ n x)^2 & y¹¹ at x=1 & y¹¹= 1(1)(1)-0 1(1) & y¹¹=1 aligned

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