Differentiate.

Question

f(x) = 4xe^xcsc(x)

Answer 1

Just use the product rule
f = 4x e^x cscx
f' = (4)(e^x cscx) + (4x)(e^x)(cscx) + (4x e^x)(-cscx cotx)
= -4e^x cscx (x cotx - x - 1)