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| PAGE: 188 | SET: Exercises | PROBLEM: 19 |
The function is 
.
Differentiate on each side with respect to 
.
Power rule of derivatives :
.
The differential function is 
The differential function is 
.
Substitute 
and 
in differential function.
Hence, the value of 
is 
.
If 
changes by a small amount 
, then will cause 
to change by a small amount 
.
Find using the formula 
.
Substitute and 
in the above formula.
The function is 
.
Find the value of 
and 
.
Substitute 
and 
in .
.
Find point on the curve at .
.
Therefore, the point is 
.
Graph:
Graph the curve.
Draw the tangent line at 
.
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The value of is .
The value of 
is 
.
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