If x=a ^3 , y=a ^3 , then d^2 y d x^2 at = 4 is

Step-by-step solution

We are given that x=a ^3 , y=a ^3 Now d x d =3 a ^2 (- ), d y d =3 a ^2 ( ) Now, d y d x = 3 a ^2 -3 a ^2 =- aligned & d y d x =- d y d x^2 =- ^2 ( d d x ) & d^2 y d x^2 =- ^2 1 -30 ^2 & d^2 y d x^2 = ( 1 39 ) 1 ^4 aligned At = 4 aligned & d ^2 y dx ^2 = ( 1 39 ) 1 ( 4 ) ( 4 )^4 & d ^2 y dx ^2 = ( 1 39 ) 1 ( 1 2 ) ( 1 2 2 ) = 4 2 39 aligned