# What is the equation of the normal line of #f(x)=ln(1/x)# at #x=5#?

According to the Chain Rule,

Plug back in to find that:

We can use point-slope form to write an equation:

Or, in slope-intercept form:

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The equation of the normal line of f(x)=ln(1/x) at x=5 is y = -5x + ln(1/5) + 5.

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