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NDA2010MathematicsInverse Trigonometric FunctionsActual

If y= ⁻¹ ( 4 x 1+4 x^2 ) , then what is d y d x equal to?

Options

  1. A1 1+4 x^2
  2. B- 1 1+4 x^2
  3. C4 1+4 x^2
  4. D4 x 1+4 x^2

Correct answer

C. 4 1+4 x^2

Step-by-step solution

y= ⁻¹ [ 2(2 x) 1+(2 x)^2 ] Put 2 x= aligned & y= ⁻¹ [ 2 1+ ^2 ] & y=2 ⁻¹ d y d x = 2 2 1+4 x^2 aligned

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