### All AP Calculus AB Resources

## Example Questions

### Example Question #84 : Applications Of Derivatives

Find the normal line of the curve at the point

**Possible Answers:**

**Correct answer:**

Explanation:

Use implicit differentiation to calculate the slope of the tangent line:

Simplify:

Subtract x from both sides of the equation:

Divide both sides of the equation by 2y:

Plug in the x and y values from the point into the equation, to calculate the slope of the tangent line:

Take the negative reciprocal of the slope of the tangent line to calculate the slope of the normal line:

Plug the slope of the normal line into point slope form:

Add to both sides to isolate y:

Simplify the equation:

Simplify further:

Solution:

Heather

Certified Tutor

Certified Tutor

University of Wisconsin-River Falls, Bachelor of Science, Mathematics. University of Iowa, Master of Science, Mathematics.

### All AP Calculus AB Resources

Popular Subjects

Math Tutors in Boston, French Tutors in San Diego, Math Tutors in Dallas Fort Worth, ISEE Tutors in Los Angeles, Statistics Tutors in Phoenix, Algebra Tutors in Miami, Calculus Tutors in Washington DC, SAT Tutors in San Diego, Reading Tutors in Philadelphia, LSAT Tutors in Atlanta
Popular Courses & Classes

GMAT Courses & Classes in Washington DC, ACT Courses & Classes in Seattle, Spanish Courses & Classes in Philadelphia, GRE Courses & Classes in Philadelphia, MCAT Courses & Classes in San Diego, LSAT Courses & Classes in Chicago, MCAT Courses & Classes in Houston, ISEE Courses & Classes in Atlanta, SAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Los Angeles
Popular Test Prep

LSAT Test Prep in Dallas Fort Worth, GRE Test Prep in Washington DC, ISEE Test Prep in Atlanta, ACT Test Prep in Boston, LSAT Test Prep in Los Angeles, MCAT Test Prep in Los Angeles, ACT Test Prep in San Diego, ACT Test Prep in Seattle, SAT Test Prep in Washington DC, ISEE Test Prep in Los Angeles