(a)
To Calculate: All the points when
(a)
Answer to Problem 4QQ
The horizontals tangents passes to the points are
Explanation of Solution
Given Information:
The function is
Formula Used:
Power rule of derivative:
Calculation:
The function is
Find the derivative.
Substitute the derivative of the function equal to 0, to find the values of
Take
That is,
Substitute 0 for
Thus, the point is
Substitute
Thus, the point is
Substitute
Thus, the point is
Hence, the horizontals tangents passes to the points are
(b)
To calculate: The equation of the tangent line when
(b)
Answer to Problem 4QQ
The equation of the tangent is
Explanation of Solution
Given Information:
The function is
Formula Used:
Power rule of derivative:
Calculation:
The function is
Find the derivative.
Substitute 1 for
Thus, the tangent passes through the point is
Substitute 1 for
Thus, the slope is
Find the equation of the tangentline, when the passing point is
Substitute
Hence, the equation of the tangent is
(c)
To calculate: The equation of the normal line when
(c)
Answer to Problem 4QQ
The equation of the normal line is
Explanation of Solution
Given Information:
The function is
Formula Used:
Power rule of derivative:
Calculation:
The function is
Find the derivative.
Substitute 1 for
Thus, the tangent passes through the point is
Substitute 1 for
Thus, the slope is
The slope of normal is
Find the equation of the normal line, when the passing point is
Substitute
Hence, the equation of the normal line is
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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