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Most Important Selected Qs for JEE AdvancedMathematicsInverse Trigonometric Functions

The differential coefficient of ⁻¹ t 1+ t ^2 w.r.t. ⁻¹ 1 1+ t ^2 is

Options

  1. A1 t 0
  2. B-1 t 0
  3. C1 t R
  4. DNone of these

Correct answer

B. -1 t 0

Step-by-step solution

y= ⁻¹ ( t 1+t^2 ) , z= ⁻¹ ( 1 1+t^2 ) -1 t 1+t^2 1 and 0 ( 1 1+ t ^2 ) 1 t R let ⁻¹ ( t 1+t^2 )=0 (- / 2, / 2) t 1+t^2 = = 1 1+t^2 (i) if (0, 2 ) , then y= , z= d y d z =1 (ii) if (- 2 , 0 ) , then y= , z=- d y d z =-1

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