Product Rule...1

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

  1. nycmathguy

    nycmathguy

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    Calculus
    Section 3.2

    IMG_20220620_112241.jpg
     
    nycmathguy, Jun 20, 2022
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  2. nycmathguy

    MathLover1

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    y=(e^x+2)(2e^x-1)

    (d/dx)((e^x+2)(2e^x-1))

    =(d/dx)((e^x+2)*(2e^x-1)+(d/dx)(2e^x-1)*(e^x+2)

    = e^x*(2e^x-1)+ 2e^x*(e^x+2)

    = 2e^(2x) - e^x+ 4 e^x + 2e^(2 x)

    = 4e^(2x) - e^x+ 4 e^x

    =3e^x + 4e^(2 x)

    so
    upload_2022-6-20_17-40-42.gif
     
    MathLover1, Jun 20, 2022
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    nycmathguy likes this.

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  3. nycmathguy

    nycmathguy

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    Are you serious? I got this one wrong, too?
     
    nycmathguy, Jun 21, 2022
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