### All High School Math Resources

## Example Questions

### Example Question #1 : Understanding Derivatives Of Trigonometric Functions

Find the derivative of the following function:

**Possible Answers:**

**Correct answer:**

Explanation:

The derivative of is. It is probably best to memorize this fact (the proof follows from the difference quotient definition of a derivative).

Our function

the factor of 3 does not change when we differentiate, therefore the answer is

### Example Question #2 : Understanding Derivatives Of Trigonometric Functions

**Possible Answers:**

**Correct answer:**

Explanation:

The derivative of a sine function does not follow the power rule. It is one that should be memorized.

.

### Example Question #53 : Finding Derivatives

What is the second derivative of ?

**Possible Answers:**

**Correct answer:**

Explanation:

The derivatives of trig functions must be memorized. The first derivative is:

.

To find the second derivative, we take the derivative of our result.

.

Therefore, the second derivative will be .

### Example Question #54 : Finding Derivatives

Compute the derivative of the function .

**Possible Answers:**

**Correct answer:**

Explanation:

Use the Chain Rule.

Set and substitute.

Daniel

Certified Tutor

Certified Tutor

Michigan State University, Bachelor of Education, History. Grand Canyon University, Masters in Education, Special Education.

Dominique

Certified Tutor

Certified Tutor

Xavier University of Louisiana, Bachelor of Science, Chemistry. University of Alabama at Birmingham, Master of Science, Biome...