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KCET2008MathematicsDifferentiation

The derivative of (x³ ) w.r.t. (x³ ) is

Options

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

Correct answer

C. - ( x ³ )

Step-by-step solution

Let u = x ³ and v = x ³ . On differentiating w.r.t. x , we get du dx = x ³ 3 x ² and dv dx =- x ³ 3 x ² d u d v = d u / d x d v / d x = 3 x² x³ -3 x² x³ =- x³

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