a.
To calculate: The tangent of curve at point P.
a.
Answer to Problem 31E
The tangent to the curve is
Explanation of Solution
Concept used:
The slope of a function is the derivative of the function.
Given information:
The function is
Calculation:
The function is
Differentiate the equation of curve
Substitute
Substitute the values in the equation
Conclusion: So, tangent on the curve is
b.
To calculate: The horizontal tangent of the curve at Q.
b.
Answer to Problem 31E
The horizontal tangent to the curve is
Explanation of Solution
Given information:
The function is
Concept used:
The function is said to have horizontal tangent if
Calculation:
The function is
The function is constant with respect to
Substitute
Substitute
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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