# sketch a graph with given properties of $f'(x)$

Discussion in 'Mathematics' started by Carrie Streett, Aug 2, 2020 at 2:25 AM.

1. ### Carrie StreettGuest

Sketch a graph with given properties:

$(i)\quad$ Continuous everywhere except for where a vertical asymptote at $x=0$

$(ii)\quad$$f'(x)<0$ for $-\infty <x<0$

$(iii)\quad$ $f'(x)>0$ for $0<x<\infty$

$(iv)\quad$ $f''(x)<0$ for $-\infty<x<0$