Product rule
sin(x)cos(x)
cos2(x)-sin2(x)
6x3+30
18x2
sin(2x)
2cos(2x)
A function is differentiable if it is ___________
smooth and continuous
exx2
x2ex+2xex
x7/3
7/3 x4/3
sin(e2x)
2e2xcos(e2x)
A function that can be drawn without lifting your pen is considered _________
continuous
ln(x)tan(x)
(1/x)(tan(x))+(ln(x))(sec2x)
e
0
ln(x4)
4/x
A function that lacks sharp corners is considered ________
smooth