An Isomorphic Inequality

★ 7/10Extrema calculus Substitution Monotonicity inequality

Problem

If the inequality

mx\mathrm{e}^{mx^2} \geqslant \ln x

holds for all $x$ in the domain, find the range of possible values of the real number $m$ .

Answer

Solution

Difficulty	7/10
Topics	Extrema, calculus, Substitution, Monotonicity, inequality

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.