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The derivative of f at c is defined as which limit?

A[f(c + h) - f(c)] times h as h tends to 0
B[f(c) - f(h)]/h as h tends to 0
C[f(c + h) - f(c)]/h as h tends to 0
D[f(c + h) + f(c)]/h as h tends to 0
Answer & Solution
Correct answer: C. [f(c + h) - f(c)]/h as h tends to 0
The derivative is the limit of the difference quotient of f over a small step h around c.
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