calculus

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Let
f(x) = (x − 3)−2.
Find all values of c in (2, 5) such that
f(5) − f(2) = f'(c)(5 − 2).
(Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

C=?

  • calculus - clarify -

    If you mean f(x) = (x-3)^-2,

    then f is discontinuous at x=3 and the mean value theorem does not apply.

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