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COMEDK2019MathematicsDifferentiation

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

Options

  1. A- (x³ )
  2. B(x³ )
  3. C- (x³ )
  4. D(x³ )

Correct answer

C. - (x³ )

Step-by-step solution

Let u= (x³ ) and v= (x³ ) Then, d u d x = (x³ ) (3 x² ) and d v d x =- (x³ ) (3 x² ) Now, d u d v = ( d u d x ) ( d v d x ) = 3 x² (x³ ) -3 x² (x³ ) =- (x³ )

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