Definition of Derivative...2

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_102559.jpg

    IMG_20220612_102610.jpg
     
    nycmathguy, Jun 12, 2022
    #1
  2. nycmathguy

    MathLover1

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    answers for derivatives are correct

    still ask you to state the domain of the function and the domain of its derivative
     
    MathLover1, Jun 12, 2022
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  3. nycmathguy

    nycmathguy

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    IMG_20220612_181230.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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    Thank you. How is the range found with and without a graph?
     
    nycmathguy, Jun 13, 2022
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  6. nycmathguy

    MathLover1

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    26.

    f(t)=t^3-5t+1

    range:
    R (all real numbers)

    f'(t)=3t^2-5
    range:
    {f element R : f>=-5}

    28.
    f(v)=v/(v+2)

    range :[​IMG]

    upload_2022-6-12_20-22-53.gif

    range:
    {y element R : y>0} (all positive real numbers)
     
    MathLover1, Jun 13, 2022
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  7. nycmathguy

    nycmathguy

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    No image in your reply. By the way, I posted enough questions in two forums other than Calculus for you to play with during the week. Enjoy. Please, follow my directions.
     
    nycmathguy, Jun 13, 2022
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  8. nycmathguy

    MathLover1

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    for 28 image was
    {f element R : f ≠ 1 }
     
    MathLover1, Jun 13, 2022
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  9. nycmathguy

    nycmathguy

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    Ok. Check out the Geometry and Trigonometry forum for new threads.
     
    nycmathguy, Jun 13, 2022
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