To calculate: The tangents and the smallest slope of the curve and the value of
Answer to Problem 38E
The tangents are
Explanation of Solution
Given information:
The curve’s equation is
Concept used:
The slope of the curve is equal to the derivative of the function.
Calculation:
Differentiate
Equate slope and derivative to get the value of
Substitute
Substitute the values in the formula
Substitute
Substitute the values in the formula
Differentiate again the equation of curve with respect to
Equate the second derivative to
Substitute
Conclusion: So, the equations of tangent is
Chapter 2 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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