Definition of Derivative...1

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_102527.jpg

    IMG_20220612_102542.jpg
     
    nycmathguy, Jun 12, 2022
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  2. nycmathguy

    MathLover1

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    correct

    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_181222.jpg
     
    Last edited: Jun 12, 2022
    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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    Very good. How is the range found?
     
    nycmathguy, Jun 13, 2022
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  6. nycmathguy

    MathLover1

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    The range is the set of possible output values, which are shown on the y-axis.

    Overall, the steps for algebraically finding the range of a function are:
    1. Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
    2. Find the domain of g(y), and this will be the range of f(x).
    3. If you can't seem to solve for x, then try graphing the function to find the range.
     
    MathLover1, Jun 13, 2022
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  7. nycmathguy

    nycmathguy

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    Can you find the range using the steps you provided for question 22 as a guide for me?
     
    nycmathguy, Jun 13, 2022
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