`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''`

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gsarora17 eNotes educator| Certified Educator






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)


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