Sketch a graph of the given and the tangent line at point
Answer to Problem 23E
The approximate slope of the curve at point
Explanation of Solution
Given:
The function given is:
Consider the function:
Since, the tangent is drawn to be on the point
The point (1,-1) as marked in the graph below. Now, draw the tangent at (1,-1).
By the above graph the slope at point
Now, from the above graph, the tangent crosses the
So, the change in y is equal to final position- initial position
Similarly the change in x
Hence, by the above formula of slope of the tangent
Therefore, the approximate slope of the curve at point
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning