(a)
To find: The slope of the curve
(a)
Answer to Problem 47RE
The slope of the curve
Explanation of Solution
Given information: The function is
Calculation:
The given function is:
Calculate
So, the point
Next, determine the slope to use the slope definition at some point. Here,
Therefore, the required slope of the curve
(b)
To find: The equation of tangent function of
(b)
Answer to Problem 47RE
The equation of the tangent line is
Explanation of Solution
Given information: The function is
Calculation:
The given function is:
From part (a)
Therefore, the required equation of the tangent line is
(c)
To find: The equation of normal at
(c)
Answer to Problem 47RE
The equation of the normal at
Explanation of Solution
Given information: The function is
Calculation:
The given function is:
The slope of the normal line is
In this question the slope of the tangent is
And as calculate before
Use the line equation:
Therefore, the required equation of the normal at
Chapter 1 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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