Dickson Rodriguez
03/12/2023 · Junior High School
Ejercicio 24. Sea \( f(x)=x e^{-18 x^{2}} \). Hallar los intervalos de crecimiento y de decrecimiento, los máximos y mínimos locales de \( f \) y el valor que la función alcanza en los mismos.
UpStudy ThothAI Solution
Tutor-Verified Answer
Quick Answer
Para la función \( f(x) = x e^{-18 x^{2}} \), los intervalos de crecimiento son \( (-\frac{1}{6}, \frac{1}{6}) \), los intervalos de decrecimiento son \( (-\infty, -\frac{1}{6}) \) y \( (\frac{1}{6}, \infty) \). El mínimo local está en \( x = -\frac{1}{6} \) con valor \( -\frac{1}{6} e^{-0.5} \), y el máximo local está en \( x = \frac{1}{6} \) con valor \( \frac{1}{6} e^{-0.5} \).
Step-by-step Solution
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit