AP Calc.
Quiz on Inverse Trig Differentiation
1) Differentiate each function.
A) f ( x)  arc cot x  arctan x
Name_____________
B) f  x   arctan 4x2 1
C) f ( x)  tanFH arcsin xIK
D) f  x   arcsec(4 x2 )
2)
Use L’Hopital’s rule to find each limit. SHOW WORK!
A)
lim
ln x
x 2 x
B)
sin 4 x
x0 sin 3 x
lim
C)
log 2 x
x log  x  3
3
lim