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Mathematics
Algebra
Mean Value Theorem
The arithmetic mean of two numbers a and b is the number(a+b)/2. Find the value of c in the conclusion of the mean-value theorem for f(x)=x^2 on any interval [a,b].
1 answer
f'(c)=(b^2-a^2)/(b-a)=b+a=2c=>c=(a+b)/2
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