Tutorial Exercise Find the derivative of the function. y $=$ sin $-1(5$x $+1)$ Step $1$ The function y $=$ sin$-1(5$x $+1)$ is a composition, and so we must use the Chain Rule, given below, to find the derivative. $($x$)\}]=$ f$\text{'}($g$($x$))$g$\text{'}($x$)$ For the given function sin$-+(5$x $+1),$ the "inside" function is $5$x $+1$ and the "outside" function is f$($x$)=$ sin$-1($x$)$ arcsin $(2)$ Step $2$ Recall that the derivative of y $=$ sin$-+($x$)$ is y$\text{'}=1-$r$?171-22$ Step $3$ Applying the Chain Rule, we therefore have the following. de les $[$sin$-1(5$x $+1)]=$ Submit Skip $($you cannot come back$)$