### All Intermediate Geometry Resources

## Example Questions

### Example Question #1 : Tangent Lines

What is the slope of the tangent line to the graph of when ?

**Possible Answers:**

**Correct answer:**

Explanation:

To find the slope of the tangent line, first we must take the derivative of , giving us . Next we simply plug in our given x-value, which in this case is . This leaves us with a slope of .

### Example Question #221 : Lines

Suppose the equation of a line is . What is the slope of the tangent line at ?

**Possible Answers:**

**Correct answer:**

Explanation:

Rewrite in slope-intercept form, .

The slope of the tangent line is .

### Example Question #223 : Lines

Suppose a function . What is the slope of the tangent line at ?

**Possible Answers:**

**Correct answer:**

Explanation:

Write the formula for slope-intercept form.

The slope of is always zero at every point on the domain. Therefore, the slope at must also be zero.

### All Intermediate Geometry Resources

Popular Subjects

GRE Tutoring in Miami, ISEE Tutoring in Dallas Fort Worth, Algebra Tutoring in Houston, ACT Tutoring in Philadelphia, GRE Tutoring in Boston, SSAT Tutoring in Philadelphia, MCAT Tutoring in Seattle, LSAT Tutoring in Dallas Fort Worth, Computer Science Tutoring in Chicago, Biology Tutoring in Washington DC
Popular Courses & Classes

LSAT Courses & Classes in Houston, MCAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in New York City, SAT Courses & Classes in Houston, Spanish Courses & Classes in San Diego, SAT Courses & Classes in Chicago, SSAT Courses & Classes in Boston, Spanish Courses & Classes in Phoenix, Spanish Courses & Classes in Boston, GRE Courses & Classes in Los Angeles
Popular Test Prep

ISEE Test Prep in Chicago, GMAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Washington DC, MCAT Test Prep in Boston, ACT Test Prep in Washington DC, GRE Test Prep in Seattle, ISEE Test Prep in Philadelphia, SSAT Test Prep in Philadelphia, GMAT Test Prep in Philadelphia, LSAT Test Prep in Denver