Step 1 :
\The function is .
The tangent line of the function is horizontal, means that, the slope of the tangent line is zero.
\Set slope = .
Apply formula : .
Apply power rule of derivatives : .
Step 2 :
\Solve .
If , then the general solution is
, where
is an integer.
.
If , then
,
If , then
,
If , then
, and ..............
At ,
At ,
At ,
, and .........
The points on the graph of the function are .
Step 3 :
\Solve .
If , then the general solution is
, where
is an integer.
.
If , then
,
If , then
,
If , then
, and ..............
At ,
.
At ,
.
At ,
, and .........
The points on the graph of the function are , where
is an integer.
Solution :
\The points on the graph of the function are and
, where
is an integer.