`f(x) = e^x - 0.186x^4` Produce graphs of `f` that reveal all the important aspects of the curve. In particular, you should use graphs of `f'` and `f''`

1 Answer

gsarora17's profile pic

gsarora17 | (Level 2) Associate Educator

Posted on






Refer the attached graph in image and link. f(x) plotted in red color,f'(x) in blue color and f''(x) in green color.

From the graph,

Local Maximum `~~` 5 at x `~~` 2.975

Local Minimum `~~` 5 at x `~~` 3.025

Inflection points at x `~~` -0.5 ,x `~~` 1.25 ,x `~~` 3.0

The function is Concave up in the intervals about (-0.5,1.25) and (3,`oo` )

The function is Concave down in the intervals about (-`oo` ,-0.5) and (1.25,3)


This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)