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AP EAMCET202526 May 2025Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If f(x)= Sec ⁻¹ ( 1 2 x^2-1 ) and g(x)= Tan ⁻¹ ( 1+x^2 -1 x ) , then the derivative of f(x) with respect to g(x) is

Options

  1. A1+x^2 4 1-x^2
  2. B(1-x^2 ) 4 1+x^2
  3. C- 4 (1-x^2 ) 1+x^2
  4. D- 4 (1+x^2 ) 1-x^2

Correct answer

D. - 4 (1+x^2 ) 1-x^2

Step-by-step solution

No Solution

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