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Lagrange's mean value theorem asserts a point c in (a, b) such that f'(c) equals
A(f(b)+f(a))/2
B(f(b)-f(a))/b
C(f(b)-f(a))/(b-a)
Df(b)-f(a)+b-a
Answer & Solution
Correct answer: C. (f(b)-f(a))/(b-a)
The derivative at c equals the average rate of change over the whole interval, the difference quotient.
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