How do you find the slope of the tangent line for $f(x)=1/absx$ at x=4?

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Answer 1 · 2015-09-09T14:50:35

Near $4$ , we have $absx = x$ .

So, near $4$ , we have $f(x) = 1/x$

Now use either the definition or the power rule to get

Slope of tangent $= -1/16$

How do you find the slope of the tangent line for f(x)=1/absxf(x)=1/absx at x=4?