Extreme Values, Sum Bounded

★ 6/10functions Extrema calculus Vieta's Formulas

Problem

The function $f(x) = \ln x + \dfrac{1}{2}x^2 + ax$ has two extreme points $x_1, x_2$ , and

f(x_1) + f(x_2) \leqslant -9.

Find the range of possible values of the real number $a$ .

Answer

Solution

Difficulty	6/10
Topics	functions, Extrema, calculus, Vieta's Formulas

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.