Provide an appropriate response.Why is dy not generally equal to ?y?

A. Because dy is the change in f(x) over an interval x to x + ?x , whereas, over the same interval, ?y is the rise of the line tangent to f(x) at x = x.
B. Because ?y is the slope of f(x) at x + ?x , whereas, dy is the slope of f(x) at x + ?x.
C. Because ?y is the slope of f(x) at x + ?x , whereas, dy is the slope of the line tangent to f(x) at x = x.
D. Because ?y is the change in f(x) over an interval x to x + ?x , whereas, over the same interval, dy is the rise of the line tangent to f(x) at x = x.


Answer: D

Mathematics

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