find y' of y=sinθ tanθ sqrt(θ^3)

use extended product rule

if y = uvw
y' = uvw' + uv'w + u'vw

y = sinØ tanØ Ø^(3/2)

dy/dØ = cosØ tanØ Ø^(3/2) + sinØ sec^2Ø Ø^(3/2) + (3/2)√Ø sinØ tanØ