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d/dx (4ln) (2x)sin2x using product rule

  • calc -

    The way you typed it, I will read it as

    [ 4ln(2x)][sin 2x]

    so derivative is
    (4ln(2x))(2)(cos 2x) + sin 2x (4/(2x) (2)
    = 8ln(2x) cos(2x) + 4sin(2x) /x

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