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Question

The slope of the tangent at left parenthesis x comma y right parenthesis to a curve passing through open parentheses 1 comma pi over 4 close parentheses is given by y over x minus cos squared invisible function application open parentheses y over x close parentheses, then the equation of the curve is

  1. y equals t a n to the power of negative 1 end exponent invisible function application open square brackets log invisible function application open parentheses fraction numerator e over denominator x end fraction close parentheses close square brackets    
  2. y equals x t a n to the power of negative 1 end exponent invisible function application open square brackets log invisible function application open parentheses fraction numerator x over denominator e end fraction close parentheses close square brackets    
  3. y equals x t a n to the power of negative 1 end exponent invisible function application open square brackets log invisible function application open parentheses fraction numerator e over denominator x end fraction close parentheses close square brackets    
  4. None of these    

The correct answer is: y equals x t a n to the power of negative 1 end exponent invisible function application open square brackets log invisible function application open parentheses fraction numerator e over denominator x end fraction close parentheses close square brackets

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