The first order derivative function is and tangent line is
.
The tangent line is .
Rewrite the tangent line.
\Hence the slope of the tangennt line is .
But first order derivative function is the slope of the tangent line.
\ ( Since
)
Now substitute in a tangent line.
Therefore the point of tangency is .
The first order derivative function is .
The antiderivative of is
Therefore the function is .
Substitute and
in
.
Hence the function is .
Graph :
\Graph the function :
(1) Draw the coordinate plane.
\(2) Sketch tangent line at a point
.
The function is .