What is the slope of the line tangent to the graph of y=e−xx+1
at x=1?

Answers

Answer 1

The slope to the line tangent to the graph of y = e^(-x + 1) at x = 1 is given as follows:

-1.

How to obtain the slope to the tangent line?

The function for this problem is given as follows:

y = e^(-x + 1).

The value of x at which we want to obtain the slope of the tangent line is given as follows:

x = 1.

The slope of the tangent line is then give by the numeric value of the derivative of y = e^(-x + 1) at x = 1.

Applying the chain rule of derivatives, we have that:

The derivative of e^x is of e^x.The derivative of -x + 1 is of - 1.

Hence the derivative is given as follows:

y' = -e^(-x + 1)

At x = 1, the derivative, representing the slope of the tangent line, has a numeric value given as follows:

m = -e^(-1 + 1)

m = -e^0

m = -1.

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Related Questions

Identify primary symptoms and causes of mental
disorders, and compare various types of
psychotherapy used to treat disorders.

Answers

Answer: Sorry its kinda long

Primary Symptoms of Mental Disorders:

1. Loss of interest in daily activities

2. Abnormal thoughts and feelings

3. Changes in mood or behavior

4. Problems with concentration or attention

5. problems with sleeping or eating habits

6. Trouble functioning in social situations

Causes of Mental Disorders:

1. Biological Factors - These include a gene mutation, a chemical imbalance in the brain, and abnormalities in brain structure.

2. Environmental Factors - This includes stress or trauma, abuse or neglect, and a lack of social or financial support.

3. Psychological Factors - These factors include thoughts, attitudes, and beliefs.

Types of Psychotherapy Used to Treat Mental Disorders:

1. Cognitive Behavioral Therapy (CBT) - This type of therapy helps people to identify and change negative thinking patterns and behaviors that might be contributing to the disorder.

2. Dialectical Behavioral Therapy (DBT) - This type of therapy focuses on emotion regulation and teaches clients how to accept their feelings and behaviors.

3. Interpersonal Therapy (IPT) - This is a form of therapy that focuses on improving communication, interactions, and relationships.

4. Psychoanalysis - This type of therapy examines the unconscious thoughts and motivations and how these may affect behavior.

5. Acceptance and Commitment Therapy (ACT) - This type of therapy focuses on helping people to identify values in their lives and on developing mindfulness skills to help them become more comfortable with their thoughts and feelings.

The type of psychotherapy used to treat a mental disorder depends on the individual's specific needs and the nature of the disorder. The same type of psychotherapy might not be appropriate for everyone or every disorder. Therefore, it is important to consult a mental health professional to determine what type of therapy would be most beneficial for a particular disorder and person.


What is the basis of all
cocoa products?

Answers

Answer:

The basis of all cocoa products is small pieces of cocoa beans known as nibs. These nibs are then processed to create cocoa butter, cocoa powder, chocolate liquor, and other cocoa-based products.

Explain the three steps of the perception process. Use details to support your answer.

this is for psychology so it’s probably asking for specific terminology if that’s at all helpful , thanks!

Answers

The three stages of perception are sensory selection and stimulation, organization, and interpretation.

What is perception?

Perception is the interpretation we assign to various pieces of information based on our perspective.

Depending on their interpretations, various people see the world in different ways. Depending on our requirements and objectives, thinking uses perception in a variety of ways.

The processes in which we choose, arrange, and interpret the information that comes to us through our senses are fundamental to the perception process.

Therefore, the three stages of perception are selection, organisation, and interpretation.

Thus, these are the three steps of the perception process.

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Why do the keypad buttons on drive-up ATMs have Braille dots?

Answers

For blind people to be able to read

Why would Shintoism, the religious practice once common in Japan, be considered a folk religion?

Answers

Answer: Shintoism is often considered a folk religion because it has no founder, no official dogma, and no central authority. It is a collection of traditional beliefs, practices, and rituals that have evolved over time and are closely tied to the daily lives and customs of the people of Japan. It is also characterized by a focus on ancestor worship, nature worship, and the worship of kami, which are supernatural beings or spirits that are believed to inhabit natural objects and phenomena. The religion is closely tied to the culture, customs and history of Japan, and many of its practices, rituals and festivals are rooted in local traditions and customs.

Managed reporter should only report child abuse after they have investigated the concern true or

Answers

The answer is True——————

All of the following are professional benefits, as a college education, except

Answers

Explanation:

except life expectancies

pls mark brainliest

17. Based on what is known about split-brain subjects, if a man with a split-brain was blindfolded and handed a fork in his left hand, what would the expected response be if asked what the object was?
O He would know what is used for and be able to articulate the word fork.
He would not know what it is used for, but he would be able to articulate the word fork
He would not know the name of the item, nor would he know what it is used for.
He would know it is used for eating but would not be able to form the word fork

Answers

If a man with a split-brain was blindfolded and handed a fork in his left hand, the expected response if asked what the object was is C. He would not know the name of the item, nor would he know what it is used for

What is Split-Brain?

Split-brain is a condition where the corpus callosum, the bundle of nerve fibers that connects the two hemispheres of the brain, is severed in order to treat severe epilepsy.

This separation of the hemispheres means that information processed in one hemisphere cannot be shared with the other.

In the case of a split-brain patient who is blindfolded and handed a fork in his left hand, the left hemisphere would receive the information about the fork, but the right hemisphere, which controls language and speech, would not be aware of it.

So, the patient would not be able to name the object or know its purpose.


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