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MHT CET202210 Aug 2022Evening ShiftMathematicsDifferentiationActual

For x (0, 1 4 ) , if the derivative of ⁻¹ ( 6 x x 1-9 x^3 ) is x g(x) , then g(x) equals

Options

  1. A9 1+9 x^3
  2. B3 x 1-9 x^3
  3. C3 x x 1-9 x^3
  4. D3 1+9 x^3

Correct answer

A. 9 1+9 x^3

Step-by-step solution

aligned & y= ⁻¹ ( 6 x x 1-9 x^3 )= ⁻¹ 2 (3 x^ 3 2 ) 1- (3 x^ 3 2 )^2 =2 ⁻¹ (3 x^ 3 2 ) & d y ~d x =2 1 1+9 x^3 3 3 2 x = 9 1+9 x^3 x & g(x)= 9 1+9 x^3 aligned

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