Two Zeros of a Log Cubic

8/10functionsExtremacalculusMonotonicity

Problem

The function

f(x)=lnxx3+2ex2axf(x) = \ln x - x^3 + 2ex^2 - ax

has exactly 22 zeros. Find the range of possible values of the real number aa.

Answer

Solution

Difficulty8/10
Topicsfunctions, Extrema, calculus, Monotonicity

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