Chapter 2: Q. 88 (page 235)
Use implicit differentiation and the fact that for all in the domain of to prove that . You will have to consider the casesand separately.
Short Answer
We proved usingimplicit differentiation.
Chapter 2: Q. 88 (page 235)
Use implicit differentiation and the fact that for all in the domain of to prove that . You will have to consider the casesand separately.
We proved usingimplicit differentiation.
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Get started for freeUse the definition of the derivative to find the equations of the lines described in Exercises 59-64.The line tangent to the graph of at the point
Each graph in Exercises 31–34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.
For each function f that follows find all the x-values in the domain of f for which and all the values for which does not exist in later section we will call these values the critical points of f
localid="1648604345877"
For each function and interval in Exercises , use the Intermediate Value Theorem to argue that the function must have at least one real root on . Then apply Newton’s method to approximate that root.
localid="1648369345806" .
Last night Phil went jogging along Main Street. His distance from the post office t minutes after p.m. is shown in the preceding graph at the right.
(a) Give a narrative (that matches the graph) of what Phil did on his jog.
(b) Sketch a graph that represents Phil’s instantaneous velocity t minutes after p.m. Make sure you label the tick marks on the vertical axis as accurately as you can.
(c) When was Phil jogging the fastest? The slowest? When was he the farthest away from the post office? The closest to the post office?
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