(a)
To Find: Differentiation of the given function.
(a)
Answer to Problem 4QQ
The differentiation is
Explanation of Solution
Given information: Given function is
Formula used:
Calculation:
Differentiate with respect to x ,
(b)
To Find: Equation of tangent on the given curve.
(b)
Answer to Problem 4QQ
The required equations are
Explanation of Solution
Given information: Given function is
Formula used: For equation
For derivatives
Calculation:
Let the intersection points of the curve and tangent is
Since x-coordinate is 1 and points lie on the curve, we get
also, the slope of tangent at given points
Differentiate with respect to x
and slope of tangent at these points
Now,
(c)
To Find: Finding the x-coordinate of the given curve whose tangent is parallel to y-axis.
(c)
Answer to Problem 4QQ
The required x -coordinate is
Explanation of Solution
Given information: Slope of tangent parallel to y-axis.
Formula used:
Calculation:
Let the intersection points of the curve and tangent is
also, the slope of tangent at given points
Differentiate with respect to x
Since tangent is parallel to y-axis
Chapter 4 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus and Its Applications (11th Edition)
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