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NDA2013MathematicsDifferentiationActual

What is the derivative of x^3 with respect to x^2 ?

Options

  1. A3 x^2
  2. B3 x 2
  3. Cx
  4. D3 2

Correct answer

B. 3 x 2

Step-by-step solution

Let p=x^3, q=x^2 Now, d p d x =3 x^2, d q d x =2 x derivative of p w.r.t. q is d p d q = d p d x d q d x = 3 x^2 2 x = 3 2 x

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