Concept explainers
a.
Find the slope of the graph.
a.
Answer to Problem 46E
Explanation of Solution
Given information:
Find the slope of the graph of
Calculation:
Consider the function,
The slope of the graph
So, the slope of the graph
Use mathematical identity
At point
Hence, the slope of the graph
b.
Find an equaion of the tangent line to the graph at the point.
b.
Answer to Problem 46E
Explanation of Solution
Given information:
Find an equaion of the tangent line to the graph at the point.
Calculation:
Since the equation of a standard line is given by,
Where
Slope of
So,
Since the equation of the line is to be found on point
Now, put the values,
Hence, the equation of the tangent line at a point
c.
Graph the function and the tangent line.
c.
Answer to Problem 46E
Explanation of Solution
Given information:
Graph the function and the tangent line.
Calculation:
Use maple to draw the graph of the function
Hence, the result shown in the graph.
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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