Use the graph of the function f(x) = x3 + x2 − x − 1 to identify its relative maximum and minimum.

At x=-1 is a local maximum.

At x=0.33 is a local minimum.

Step-by-step explanation:

Given : Function

To find : Use the graph of the function to identify its relative maximum and minimum.            

Solution :

First we plot the graph of the function

Refer the attached figure below.

We know, When the curve is concave down then it gives you maximum and if the curve is concave up then it gives you minimum.

When we examine the graph we get,

The curve is concave down at point (-1,0) and

The curve is concave up at point (0.33,-1.18).

Therefore,

At x=-1 is a local maximum and

At x=0.33 is a local minimum.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐