Product rule
power rule
Chain rule
gen knowledge
100

sin(x)cos(x)

cos2(x)-sin2(x)

100

6x3+30

18x2

100

sin(2x)

2cos(2x)

100

A function is differentiable if it is ___________ 

smooth and continuous

200

exx2

x2ex+2xex

200

x7/3

7/3 x4/3

200

sin(e2x)

2e2xcos(e2x)

200

A function that can be drawn without lifting your pen is considered _________

continuous

300

ln(x)tan(x)

(1/x)(tan(x))+(ln(x))(sec2x)

300

e

0

300

ln(x4)

4/x

300

A function that lacks sharp corners is considered ________

smooth

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