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Example Questions
Example Question #2 : 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 #11 : Tangent 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 #221 : Coordinate Geometry
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.
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