How do you graph the derivative of $f(x) = log (x)$ ?

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Answer 1 · 2017-12-22T22:14:21

See below.

First we need to find the derivative of $f(x)=log(x)$

$d/dx(log(x))=1/x$

as $x->0^-color(white)(88888)$ , $1/x->-oo$

as $x->0^+color(white)(888)$ , $1/x->oo$

The y axis is a vertical asymptote.

as $x->oocolor(white)(88888)$ , $1/x->0$

as $x->-oocolor(white)(888)$ , $1/x->0$

The x axis is a horizontal asymptote.

GRAPH:

graph{y=1/x [-16.02, 16.01, -8.01, 8.01]}

How do you graph the derivative of f(x) = log (x)f(x) = log (x)?