Calculus AP

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5.2 The Natural logarithmic function

Differentiate the function
problem # 13: f(x)= sqrt(x) Inx

  • Calculus AP -

    just use the product rule:

    If y = fg
    y' = f'g + fg'

    y = √x lnx
    y' = 1/2√x lnx + √x/x
    = 1/√x (lnx/2 + 1)

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