Calculus 7E
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82
| PAGE: 156 | SET: Exercises | PROBLEM: 82 |
Please look in your text book for this problem Statement
(a) The function is 
.
Differentiate on each side with respect to 
.
.
Slope of the tangent is derivative of the function.
.
The curve has horizontal tangent when slope of the tangent is zero.
Therefore, 
.
.
(c) Graph:
Observe the graph, we have slope of the tangent is zero at 
.
Hence the curve has horizontal tangent at .
Therefore above graph is consistent with the result of part (b).
(a) 
.
(b) .
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