### All Intermediate Geometry Resources

## Example Questions

### Example Question #1 : How To Find The Slope Of A Tangent Line

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 #1 : How To Find The Slope Of A Tangent Line

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 #1 : How To Find The Slope Of A Tangent Line

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.

Nathan

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California Polytechnic State University, San Luis Obispo, Bachelor, Electrical Engineering.

Yucheng

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The University of Texas at Austin, Bachelor of Science, Mechanical Engineering.

### All Intermediate Geometry Resources

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