If y=4 ^3(t) and x=4 ^3(t) , then d y d x is equal to

Step-by-step solution

y=4 ^3(t) and x=4 ^3 9(t) aligned & d y d t =4 3 ^2 t(- t)=-12 t ^2 t & and d x d t =4 3 ^2 t t=12 ^2 t t aligned d y d x = d y / d t d x / d t = -12 t ^2 t 12 ^2 t t d y d x =- t t =- t [ d d x x^n=n x^ n-1 , d d x x= x . and . d d x x=- x ]