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Calculus

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Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function.
If there are multiple values, separate them with commas; enter N if there are no such values.
f(x)= x^2-10x+3, [0,10]

  • Calculus - ,

    Rolle's Theorem needs f(0) = f(10).
    This is true.

    So, we know that there is a c such that f'(c) = 0, where 0 <= c <= 10.

    f'(x) = 2x-10
    So, if f'(c) = 0, c=5.
    c is indeed in the interval.

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