Definition of Derivative...3

Discussion in 'Calculus' started by nycmathguy, Jun 12, 2022.

  1. nycmathguy

    nycmathguy

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    Calculus
    Section 2.8

    Screenshot_20220610-183308_Samsung Notes.jpg

    IMG_20220612_102622.jpg
     
    nycmathguy, Jun 12, 2022
    #1
  2. nycmathguy

    MathLover1

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    correct
    state the domain of the function and the domain of its derivative
     
    Last edited: Jun 12, 2022
    MathLover1, Jun 12, 2022
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  3. nycmathguy

    nycmathguy

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    IMG_20220612_181239.jpg
     
    nycmathguy, Jun 12, 2022
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  4. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Jun 13, 2022
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  5. nycmathguy

    nycmathguy

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    How about the range for f(x) and f '(x)?
     
    nycmathguy, Jun 13, 2022
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  6. nycmathguy

    MathLover1

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    the range for:
    f(x)=x^4
    [​IMG]

    range:
    {y element R : y>=0} (all non-negative real numbers)

    and
    f '(x)=4x^3

    [​IMG]

    range: R (all real numbers)
     
    MathLover1, Jun 13, 2022
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  7. nycmathguy

    nycmathguy

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    Nicely done.
     
    nycmathguy, Jun 13, 2022
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