Calculus 1 : Differential Functions

Study concepts, example questions & explanations for Calculus 1

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Example Questions

Example Question #723 : How To Find Differential Functions

Find the derivative. 

Possible Answers:

Correct answer:

Explanation:

Use the power rule to find the derivative.

Thus, the derivative is .

Example Question #723 : How To Find Differential Functions

Find the derivative:

Possible Answers:

Answer not listed

Correct answer:

Explanation:

If , then the derivative is .

If , then the derivative is .

If , then the derivative is  .

If , the the derivative is .

If , then the derivative is 

There are many other rules for the derivatives for trig functions. 

If , then the derivative is . This is known as the chain rule.

In this case, we must find the derivative of the following: 

That is done by doing the following: 

Therefore, the answer is: 

Example Question #724 : How To Find Differential Functions

Find the derivative of the following function:

Possible Answers:

Answer not listed

Correct answer:

Explanation:

If , then the derivative is .

If , then the derivative is .

If , then the derivative is  .

If , the the derivative is .

If , then the derivative is 

There are many other rules for the derivatives for trig functions. 

If , then the derivative is . This is known as the chain rule.

In this case, we must find the derivative of the following: 

That is done by doing the following: 

Therefore, the answer is: 

Example Question #911 : Differential Functions

Find the first derivative of .

Possible Answers:

Correct answer:

Explanation:

We need to differentiate term by term, applying the power rule,

This gives us

Example Question #911 : Differential Functions

Find the first derivative of .

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

We need to differentiate term by term, applying the power rule,

This gives us

Example Question #727 : How To Find Differential Functions

Find the dervivative: 

Possible Answers:

Answer not listed

Correct answer:

Explanation:

If , then the derivative is .

If , then the derivative is .

If , then the derivative is  .

If , the the derivative is .

If , then the derivative is 

There are many other rules for the derivatives for trig functions. 

If , then the derivative is . This is known as the chain rule.

In this case, we must find the derivative of the following: 

That is done by doing the following: 

Therefore, the answer is: 

Example Question #728 : How To Find Differential Functions

Find the derivative: 

Possible Answers:

Answer not listed

Correct answer:

Explanation:

If , then the derivative is .

If , then the derivative is .

If , then the derivative is  .

If , the the derivative is .

If , then the derivative is 

There are many other rules for the derivatives for trig functions. 

If , then the derivative is . This is known as the chain rule.

In this case, we must find the derivative of the following: 

That is done by doing the following: 

Therefore, the answer is: 

Example Question #731 : Other Differential Functions

Find the derivative: 

Possible Answers:

Answer not listed

Correct answer:

Explanation:

If , then the derivative is .

If , then the derivative is .

If , then the derivative is  .

If , the the derivative is .

If , then the derivative is 

There are many other rules for the derivatives for trig functions. 

If , then the derivative is . This is known as the chain rule.

In this case, we must find the derivative of the following: 

That is done by doing the following: 

Therefore, the answer is: 

Example Question #732 : Other Differential Functions

Find the derivative: 

Possible Answers:

 

Answer not listed

Correct answer:

 

Explanation:

If , then the derivative is .

If , then the derivative is .

If , then the derivative is  .

If , the the derivative is .

If , then the derivative is 

There are many other rules for the derivatives for trig functions. 

If , then the derivative is . This is known as the chain rule.

In this case, we must find the derivative of the following: 

That is done by doing the following: 

Therefore, the answer is: 

Example Question #731 : How To Find Differential Functions

Find the derivative.

Possible Answers:

Correct answer:

Explanation:

Use the power rule to find the derivative.

Thus, the derivative is .

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