2. Use the quotient rule: d f (x) _ 9(x)f' (x)-f(x)g'(x) dx g x ) (9 ( x ) ) 2 , the derivatives dx (sin x) = cos x and dx (cos x) = - sin x , and the fact that... (a) ... tan x = sin x to show that COS X dx (tan x) = sec2x. (b) ... CSCx = 1 to show that d sin x dx (cscx) = - csc x cotx. (c) ... secx = 1 to show that COS x dx (sec x) = sec x tan x. (d) ... cotx = COS X to show that d dx (cot x) = -csc2x. sin x