Trisarahtops
  • Trisarahtops
Which of the following statements is/are true? If f '(c) = 0, then f has a local maximum or minimum at x = c. If f is continuous on [a, b] and differentiable on (a, b) and f '(x) = 0 on (a, b), then f is constant on [a, b]. The Mean Value Theorem can be applied to f(x) = 1/x2 on the interval [−1, 1]. I only II only I and III only I and II only
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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JesseReyna
  • JesseReyna
Ah calculus fun!
Trisarahtops
  • Trisarahtops
lo not really. you got any idea?
JesseReyna
  • JesseReyna
1 is true, but i'm not sure about 3

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anonymous
  • anonymous
1 is true, 2 is true, and 3 is false. For the Mean Value Theorem to apply, the function must be continuous over the closed interval. I am not sure if you meant 1/(x^2) or 1/2x, but either way the interval includes x=0 which is undefined.
Trisarahtops
  • Trisarahtops
so the answer is the last one I and II only right?
anonymous
  • anonymous
Yeah, I missed the options at the bottom.
Trisarahtops
  • Trisarahtops
what?
anonymous
  • anonymous
I didn't see the answer options you put in the original post, it is I and II only.
Trisarahtops
  • Trisarahtops
Thank you ;)

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