Calculus 1 : How to find differential functions

Study concepts, example questions & explanations for Calculus 1

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Example Questions

Example Question #711 : How To Find Differential Functions

Find the derivative: 

Possible Answers:

Answer not listed

Correct answer:

Explanation:

If , then the derivative is  .

If , the the derivative is .

If , then 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 #711 : How To Find Differential Functions

Find the derivative: 

Possible Answers:

Answer not listed

Correct answer:

Explanation:

If , then the derivative is  .

If , the the derivative is .

If , then 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 #711 : How To Find 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 #712 : How To Find 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 #713 : How To Find Differential Functions

Find the derivative. 

Possible Answers:

Correct answer:

Explanation:

Use the power rule to find this solution.

Therefore, the derivative is 

Example Question #714 : How To Find Differential Functions

Find the derivative.

Possible Answers:

Correct answer:

Explanation:

The derivative of a constant is always 0.

Example Question #715 : How To Find Differential Functions

Find the derivative.

 

Possible Answers:

Correct answer:

Explanation:

Use the power rule to find the derivative.

Example Question #716 : 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 #717 : How To Find Differential Functions

Find the derivative.

Possible Answers:

Correct answer:

Explanation:

Use the power rule to find this derivative.

Thus, the derivative is 

Example Question #718 : How To Find Differential Functions

Find the derivative. 

Possible Answers:

Correct answer:

Explanation:

Recall that the derivative of a constant is zero. 

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