Solve for dy/dx given y = csc (sec(x - 8 ∛3x).

Answer 1

 y = csc (sec(x - 8 ∛3x))

dy/dx = - csc (sec( x - 8 ³√ 3x) ) cot (sec( x - 8 ³√ 3x) ) tan² (x - 8 ³√ 3x) [ 1 - 8 * 1/3 * (3x) ^-2/3 * 3 ]

= - csc (sec( x - 8 ³√ 3x) ) cot (sec( x - 8 ³√ 3x) ) tan² (x - 8 ³√ 3x) ( 1 - 8 / (3x) ^2/3 )