Concept explainers
a.
find the slope at the given point.
a.
Answer to Problem 6CT
The slope of the tangent to
Explanation of Solution
Given information:
Find a formula for the slope of the graph of
Calculation:
Consider the given function,
As both the points are lying on the curve, the line joining these two points would be the secant of the curve.
If
So that slope of tangent at
The expression is defined as the derivative of the function.
Now find slope of the tangent to the curve at the defined point, by using standard formula of slope.
Apply algebraic identity,
Now find the difference between
Now divide the difference by
Now apply limit
Hence the slope of the tangent for any point for defined function is
Now substitute
Hence the slope of the tangent to
b.
find the slope at the given point.
b.
Answer to Problem 6CT
The slope of the tangent to
Explanation of Solution
Given information:
Find a formula for the slope of the graph of
Calculation:
Consider the given function,
As both the points are lying on the curve, the line joining these two points would be the secant of the curve.
If
So that slope of tangent at
The expression is defined as the derivative of the function.
Now find slope of the tangent to the curve at the defined point, by using standard formula of slope.
Apply algebraic identity,
Now find the difference between
Now divide the difference by
Now apply limit
Hence the slope of the tangent for any point for defined function is
Now substitute
Hence the slope of the tangent to
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning