Question 1158582
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False.<br>
f(x) and g(x) can differ by a constant.<br>
Example:
f(x) = 2x; g(x) = 2x+5
f'(x) = 2; g'(x) = 2<br>
If you think of the derivative as giving the slope of the graph of a linear equation, the statement shown would say that if two lines have the same slope then they are the same line.  Obviously that is not true.<br>