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What is the slope of the tangent line to the graph of when
?
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
.
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Suppose the equation of a line is . What is the slope of the tangent line at
?
Rewrite in slope-intercept form,
.
The slope of the tangent line is .
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Suppose a function . What is the slope of the tangent line at
?
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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