(6)
\Find
at
.
Observe the graph of the function
.
Draw a tangent line to the curve at
.
Slope of the tangent line is the derivative of the function at a particular point.
\
Slope of a tangent line with points
and
:
.
The points on the tangent line are
and
.
Slope of the tangent line :
.
Therefore
.
Solution :
\
.
\
\
\
\
(7)
\Find
at
.
Observe the graph of the function
.
Draw a tangent line to the curve at
.
Slope of the tangent line is the derivative of the function at a particular point.
\
Slope of a tangent line with points
and
:
.
The points on the tangent line are
and
.
Slope of the tangent line :
.
Therefore
.
Solution :
\
.