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| PAGE: 138 | SET: Exercises | PROBLEM: 75 |
(a)
The function is 
and the point is 
.
Apply derivative on each side with respect to 
.
.
Slope of the tangent line is the derivative of the function at 
.
Substitute 
in the derivative function.
.
Slope of the tangent line to the curve at the point 
is 
.
Find the tangent line.
Point-slope form of line equation : 
.
Substitute 
and 
in point-slope form.
.
The tangent line is 
.
(b)
Graph:
Graph the function and tangent line passing through the point .
.
(c)
Graph:
Graph the derivative field .
Graph the function and tangent line passing through the point using derivative feature.
.
(a) The tangent line equation is .
(b) Graph the function and tangent line passing through the point .
.
(c)
Graph the derivative field .
Graph the function and tangent line passing through the point using derivative feature.
.
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