Let y = f(x) = x² . e. Then y' has the form y' = ez - q(z) where q(x) After getting a common denominator, q(x) Since e + 0, the critical values of f occur where q(x) = 0. Solving q(x) = 0 = x = (Enter exact answers as a list, separated by commas).
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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![Let \( y = f(x) = x^2 \cdot e^{\frac{1}{x^2}} \). Then \( y' \) has the form
\[ y' = e^{\frac{1}{x^2}} \cdot q(x) \text{ where } q(x) = \boxed{} \]
After getting a common denominator, \( q(x) = \boxed{} \)
Since \( e^{\frac{1}{x^2}} \neq 0 \), the critical values of \( f \) occur where \( q(x) = 0 \).
Solving \( q(x) = 0 \Rightarrow x = \boxed{} \)
(Enter exact answers as a list, separated by commas).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf5fbfe2-0045-4ee6-870a-2740ad348efd%2Fdf41243d-e1da-447c-a8c1-6fe8a2982939%2Fqixuedi_processed.png&w=3840&q=75)
As differentiate y using the product rule and take to obtain the value of .
thus
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