Theory and ExamplesIf the graphs of two differentiable

Chapter 4, Problem 67E

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QUESTION:

Problem 67E

Theory and Examples

If the graphs of two differentiable functions ƒ(x) and g(x) start at the same point in the plane and the functions have the same rate of change at every point, do the graphs have to be identical? Give reasons for your answer.

Questions & Answers

QUESTION:

Problem 67E

Theory and Examples

If the graphs of two differentiable functions ƒ(x) and g(x) start at the same point in the plane and the functions have the same rate of change at every point, do the graphs have to be identical? Give reasons for your answer.

ANSWER:

SOLUTION

Step 1 of 3

We have to check the graph of two differentiable functions are identical.


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