then 
is increasing at 
.Calculus
Lesson
14 First Derivative Test
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Things we already know:
1) if then is increasing at .
2) if 
then 
is decreasing at 
.
3) if 
then 
is constant at 
.
Examples to explore:
First Derivative Test:
if around 
, the sign of 
changes from +ve to
-ve, rel. max
if around 
, the sign of 
changes from -ve to
+ve, rel. min
if around 
, the sign of 
does not change, point
of inflection
Plot these!
Examples to explore:
(must plot f as
(()^2)^(1/3)