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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 #2 : 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.
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