Calculus 1 : Other Differential Functions

Study concepts, example questions & explanations for Calculus 1

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Example Questions

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Example Question #1041 : Differential Functions

Find the derivative. 

Possible Answers:

Correct answer:

Explanation:

Use the product rule to find the derivative.

The product rule states,

.

Given,

and recalling the trigonometry derivative for sine is,

the derivative becomes,

.

 

Example Question #1042 : Differential Functions

Find the derivative at

Possible Answers:

Correct answer:

Explanation:

First, find the derivative using the power rule.

The power rule states,

.

Applying the power rule results in the following.

Now, substitute 6 for x.

.

Example Question #1041 : Differential Functions

Find the derivative. 

Possible Answers:

Correct answer:

Explanation:

Use the power rule to find the derivative. 

The power rule states,

.

Applying the power rule to each term in the function results in the following.

Thus, the derivative is .

Example Question #1051 : Functions

Find the derivative at .

Possible Answers:

Correct answer:

Explanation:

First, find the derivative using the power rule. 

The power rule states,

.

Applying the power rule to each term in the function results in the following.

Thus, the derivative is 

Now, substitute 3 for x.

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