Concept explainers
To find: The rate of change of area of circle with respect to radius when
Answer to Problem 29E
The rate of change of area of circle with respect to radius when
Explanation of Solution
Given information:
The radius of the circle is
Calculation:
The formula for the area of the circle is equal to
The rate of change of area at
The formula for the instantaneous rate of change of area with respect to radius at
The formula for the instantaneous rate of change of
Substitute
Substitute
Substitute
Further simplify.
Therefore, the rate of change of area of circle with respect to radius when
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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