ToEvaluate:Thederivative of
Answer to Problem 59E
The derivative of
The point on the graph of
From the graph of
Explanation of Solution
Given:
The function
Concept Used:
The derivative of
The tangent line is horizontal when the slope of tangent line is zero.
The equation of the tangent line to the graph of a function
Calculation:
Forthe function
The derivative of
Therefore, the derivative of
The tangent line is horizontal when the slope of tangent line is zero.
Since the derivative of a function is the slope of its tangent line.
Substituting the derivative of
Substituting in the function
Therefore, the point on the graph of
For the equation of tangent line
Since, the tangent line is horizontal, so the slope of tangent line is
The point on the tangent line is
The equation of the tangent line to the graph of a function
Plotting tangent line and the graph of
Therefore, from the above graph, it is verified that the point on the graph of
Conclusion:
Thederivative of
The point on the graph of
From the graph of
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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