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MHT CET20242 May 2024Evening ShiftMathematicsInverse Trigonometric FunctionsActual

Let f( )= ( ⁻¹ ( 2 ) ) , where - 4 4 , then the value of d d( ) (f( )) is

Options

  1. A-1
  2. B1
  3. C1 2
  4. D2

Correct answer

B. 1

Step-by-step solution

aligned & f( )= ( ⁻¹ ( 2 ) ) &= ( ⁻¹ ( 2 + ^2 ) ) &= ( ⁻¹ ( . ⁻¹ x= ⁻¹ x 1+x^2 ] ^2 - ^2 + ^2 ) ) &= ( ⁻¹ ( ^2 ) ) &= ( ⁻¹( ) ) &= & d d( ) (f( ))=1 aligned

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