### All High School Math Resources

## Example Questions

### Example Question #1 : Derivatives

Find the second derivative of f(x).

**Possible Answers:**

**Correct answer:**

Explanation:

First we should find the first derivative of . Remember the derivative of is and the derivative of is :

The second derivative is just the derivative of the first derivative:

### Example Question #1 : Finding First And Second Derivatives

Find the derivative of the function

.

**Possible Answers:**

**Correct answer:**

Explanation:

We can use the Chain Rule:

Let , so that .

### Example Question #1 : Understanding L'hospital's Rule

Evaluate the following limit:

**Possible Answers:**

**Correct answer:**

Explanation:

When approaches 0 both and will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again:

Chloe

Certified Tutor

Certified Tutor

Arizona State University, Bachelor of Science, Biological and Physical Sciences.

Masoud

Certified Tutor

Certified Tutor

University of Guilan,, Bachelor of Science, Biological/Biosystems Engineering. University of Tehran, Master of Science, Anima...

### All High School Math Resources

Popular Subjects

Algebra Tutors in Los Angeles, Computer Science Tutors in Philadelphia, GMAT Tutors in Seattle, Calculus Tutors in Denver, MCAT Tutors in Atlanta, Spanish Tutors in Denver, SAT Tutors in Denver, Statistics Tutors in Chicago, English Tutors in Chicago, ACT Tutors in Phoenix
Popular Courses & Classes

SAT Courses & Classes in Chicago, Spanish Courses & Classes in Boston, LSAT Courses & Classes in Boston, ISEE Courses & Classes in Washington DC, MCAT Courses & Classes in Phoenix, MCAT Courses & Classes in Philadelphia, MCAT Courses & Classes in San Diego, GMAT Courses & Classes in Atlanta, ACT Courses & Classes in New York City, Spanish Courses & Classes in Denver
Popular Test Prep

ISEE Test Prep in Seattle, ISEE Test Prep in San Francisco-Bay Area, GRE Test Prep in Boston, SAT Test Prep in Los Angeles, ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Atlanta, ISEE Test Prep in San Diego, LSAT Test Prep in Denver, ACT Test Prep in Denver, MCAT Test Prep in Houston