EXAMPLE 2 Differentiate (a)y=sin(x5) and (b)sin6(x).SOLUTION(a) If y=sin(x4), then the outer function is the sine function and the inner function is the power function, so the Chain Rule givesdydx=ddxsin{:[outer]function((x5){:[evaluated]atinnerfunction)=()-)(x4)(b) Note that sin6(x)=(sin(x)), Here the outer function is the power function and the inner function is the sine function. Sodydx=ddx(sin(x))6inner=q,6*(sin(x))5derivative of outerderivative function evaluated of inner at inner function function