Section 2.4 Homework, # 12, 16, 44 (p. 146).
MAT128, Fall, 2015
Andy Long

#12

f[x_]:=Cos[x]/(1-Sin[x])
Simplify[f'[x]]

#16

f[x_]:=x^2 Sin[x]Tan[x]
Simplify[f'[x]]

#44

f[x_]:=Sin[3x]Sin[5x]/x^2
Limit[f[x],x->0]