To find: the equation of all the lines tangent to
Answer to Problem 36E
The equations of tangent will be:
Explanation of Solution
Given information:
The function is
Concept used:
The general equation of line passing through a point
The of the tangent and the curve is equal.
Calculation:
Let m be the slope of the curve. So, the slope of tangent is m .
The equation of line passing through
The slope m can be calculated as:
Hence the slope is
Put
But the line intersects the curve of the function as well:
Substitute
So, the line intersects the curve at
For
The equation
For
The equation
Hence the equations of tangent will be:
Chapter 1 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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