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KCET2010MathematicsDifferentiation

If x=a ³ and y=a ³ , then d y d x is

Options

  1. A[3] y x
  2. B[3] x y
  3. C- [3] x y
  4. D- [3] y x

Correct answer

D. - [3] y x

Step-by-step solution

If x=a ³ and y=a ³ d x d =3 a ² (- ) dy d =3 a ² ( ) d y d x = d y d d d x = (3 a ² ) 1 - (3 a ² ) d y d x =- , d y d x =- d y d x =- (y / a)^ -1 / 3 (x / a)^ 1 / 3 aligned &=- [ y a a x ]^ 1 / 3 d y d x &=- ( y x )^ -1 / 3 =- [3] y x aligned

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