Product Rule...5

Discussion in 'Calculus' started by nycmathguy, Jun 20, 2022.

  1. nycmathguy

    nycmathguy

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    Calculus
    Section 3.2

    Screenshot_20220620-104321_Samsung Notes.jpg

    IMG_20220620_113331.jpg
     
    nycmathguy, Jun 20, 2022
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  2. nycmathguy

    MathLover1

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    f'(x) is correct

    f'' (x) should be

    upload_2022-6-20_14-41-56.gif
     
    MathLover1, Jun 20, 2022
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  3. nycmathguy

    nycmathguy

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    Can you show the math work for f "(x)?
     
    nycmathguy, Jun 20, 2022
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  4. nycmathguy

    MathLover1

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    just take f'(x) and derivate

    =(d/dx)(e^x/sqrt(x)+(d/dx)(e^x*sqrt(x))

    =e^x/sqrt(x) - e^x/(2x^(3/2))+e^x sqrt(x) + e^x/(2 sqrt(x))

    = e^x sqrt(x) + (3 e^x)/(2 sqrt(x))-e^x/(2 x^(3/2)) .....simplify

    upload_2022-6-20_17-21-40.gif
     
    MathLover1, Jun 20, 2022
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  5. nycmathguy

    nycmathguy

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    nycmathguy, Jun 21, 2022
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