Question

Help, test tomorrow!
Derivatives and Chain Rule
derivative of y=csc^-1(secx), 0<=x<(pi/2)

Answer 1

\[y = \csc ^{-1}(secx) , 0<=x<\frac{ \pi }{ 2 }\]

Answer 2

i tried to set it up, but somewhere i went wrong and now im lost

Answer 3

Next I did,
\[y \prime = -\frac{ 1 }{ \left| secx \right| \sqrt{\sec ^{2}x-1}}*secx*tanx*secx*tanx\]

Answer 4

and then when simplifying, i got lost with
\[y \prime = -\frac{ \sec ^{2}xtanx }{ secx \sqrt{\sec ^{2}x-1} }\]

Answer 5

can someone help me?