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Which expression defines the derivative f'(a) at a point a?
ALimit as h tends to 0 of [f(a + h) - f(a)]/h
BLimit as h tends to 0 of f(a + h) f(a)
CLimit as h tends to 0 of [f(a) + f(h)]/a
DThe ratio f(a)/a with no limit
Answer & Solution
Correct answer: A. Limit as h tends to 0 of [f(a + h) - f(a)]/h
The derivative is the limit of the difference quotient as h shrinks to zero.
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