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NDA2023MathematicsDifferentiationActual

If f^ (x)= ( x) and y f ( array ll 2 & 3 array ) , then what is d y d x equal to?

Options

  1. A( ( 2 x-3 x ) )
  2. B- 3 x^2 ( ( 2 x-3 x ) )
  3. C3 x^2 ( ( 2 x-3 x ) )
  4. D- 3 x^2 ( ( 2 x-3 x ) )

Correct answer

C. 3 x^2 ( ( 2 x-3 x ) )

Step-by-step solution

Since, y=f ( 2 x-3 x ) dy dx = f ^ ( 2 x -3 x ) d dx ( 2 x -3 x ) aligned & d y d x =f^ ( 2 x-3 x ) ( 3 x^2 ) ...(i) & d y d x = 3 x^2 ( ( 2 x-3 x ) ) aligned

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