### All Calculus 1 Resources

## Example Questions

### Example Question #1041 : Differential Functions

Find the derivative.

**Possible Answers:**

**Correct answer:**

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:**

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:**

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:**

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.