sin and tan derivative problem

[Jason76]

\(\displaystyle y = \sin(\tan 5x)\)

\(\displaystyle \cos(u) du\)

\(\displaystyle \cos(u)[(v) dv]\)

\(\displaystyle \cos(u)[(v) 5]\)

\(\displaystyle \cos(u)[(\sec^{2} 5x) 5] \)

\(\displaystyle \cos(\tan 5x)[5 \sec^{2} 5x] \)

 

[fcabanski]

Your answer is correct. You can verify these on wolframalpha.com.