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Math Help - At what value would the derivative..

  1. #1
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    At what value would the derivative..

    1) At what value(s) of x, if any, would the value of the derivative be equal to zero?
    A) When x=c and x=e only.
    B) When x=b only.
    C) When x=a, x=b, x=c, and x=d.
    D) When x=a, x=b, and x=d.
    Here, I put C.

    2) At what value(s) of x would the derivative not exist?
    A) When x=c and x=e only.
    B) When x=c only.
    C) When x=a, x=b, x=d, and x=e only.
    D) When x=a, x=b, and x=d only.
    Here, I put A.

    Am I right on these?
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  2. #2
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    Re: At what value would the derivative..

    What is the function?
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  3. #3
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    Re: At what value would the derivative..

    what function? It didnt give a function, just the graph
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  4. #4
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    Re: At what value would the derivative..

    Hello, salma!

    1) At what value(s) of x, if any, would the value of the derivative be equal to zero?

    A) When x=C and x=E only.
    B) When x=B only.
    C) When x=A,\:x=B,\:x=C,\:x=D
    D) When x=A,\:x=B,\:x=D
    . . Here, I put C. . . . . no

    There is a vertical tangent at C.
    The derivative is DNE (does not exist).




    2) At what value(s) of x would the derivative not exist?

    A) When x=C and x=E only.
    B) When x=C only.
    C) When x=A,\:x=B,\:x=D,\:x=E only.
    D) When x=A,\:x=B,\:x=Donly.
    . . Here, I put A. . . . . no

    You are half-right.
    The derivative is DNE at x = C.

    But the derivative does exist at x = E.

    The point itself does not exist.
    But you can sketch the tangent line there, can't you?
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  5. #5
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    Re: At what value would the derivative..

    umm ok I think i got it now, so for the 1st one, would it be D then?
    and then the 2nd one would be B
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