How to find the slope of a tangent line - Geometry
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What is the slope of the tangent line to the graph of 
when 
?
What is the slope of the tangent line to the graph of
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 
.
To find the slope of the tangent line, first we must take the derivative of
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Suppose the equation of a line is 
. What is the slope of the tangent line at 
?
Suppose the equation of a line is
Rewrite 
in slope-intercept form, 
.
The slope of the tangent line is 
.
Rewrite
The slope of the tangent line is
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Suppose a function 
. What is the slope of the tangent line at 
?
Suppose a function
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.
Write the formula for slope-intercept form.
The slope of
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What is the slope of the tangent line to the graph of when ?
What is the slope of the tangent line to the graph of
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 .
To find the slope of the tangent line, first we must take the derivative of
Compare your answer with the correct one above
Suppose the equation of a line is . What is the slope of the tangent line at ?
Suppose the equation of a line is
Rewrite in slope-intercept form, .
The slope of the tangent line is .
Rewrite
The slope of the tangent line is
Compare your answer with the correct one above
Suppose a function . What is the slope of the tangent line at ?
Suppose a function
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.
Write the formula for slope-intercept form.
The slope of
Compare your answer with the correct one above
What is the slope of the tangent line to the graph of when ?
What is the slope of the tangent line to the graph of
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 .
To find the slope of the tangent line, first we must take the derivative of
Compare your answer with the correct one above
Suppose the equation of a line is . What is the slope of the tangent line at ?
Suppose the equation of a line is
Rewrite in slope-intercept form, .
The slope of the tangent line is .
Rewrite
The slope of the tangent line is
Compare your answer with the correct one above
Suppose a function . What is the slope of the tangent line at ?
Suppose a function
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.
Write the formula for slope-intercept form.
The slope of
Compare your answer with the correct one above
What is the slope of the tangent line to the graph of when ?
What is the slope of the tangent line to the graph of
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 .
To find the slope of the tangent line, first we must take the derivative of
Compare your answer with the correct one above
Suppose the equation of a line is . What is the slope of the tangent line at ?
Suppose the equation of a line is
Rewrite in slope-intercept form, .
The slope of the tangent line is .
Rewrite
The slope of the tangent line is
Compare your answer with the correct one above
Suppose a function . What is the slope of the tangent line at ?
Suppose a function
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.
Write the formula for slope-intercept form.
The slope of
Compare your answer with the correct one above