ToFind:The equation of the line that is tangent to the graph of
Answer to Problem 57E
The equation of the tangent line to the graph of
Explanation of Solution
Given:
The function
Concept Used:
The slope
The equation of the tangent line to the graph of a function
Calculation:
Forthe function
The slope
Consider the line
Writing the line
The slope of the line
Since, the tangent line is parallel to the line
and
For
Substituting in the function
For
Substituting in the function
So, the points on the tangent line are
Also, the slope of tangent line is
The equation of the tangent line at the point
At
At
Therefore, the equation of the tangent line to the graph of
Conclusion:
Theequation of the tangent line to the graph of
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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