Sketch a graph of the given and the tangent line at point
Answer to Problem 13E
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, 2) as marked in the graph below. Now, draw the tangent at (1, 2).
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
Since, the graph is concave down therefore the slope will be negative.
Therefore, the approximate slope of the curve at point
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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