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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