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Estimate Derivative

​
random or slider
x
new question
What is the value of
′
f
(x)?
​
The tangent to the graph of
f(x)
at
x
is extended one unit to the right to form a right-angled triangle
T
whose hypotenuse has the slope
f'(x)
. Therefore the tangent function of the angle of
T
at
(x,f'(x))
is
f'(x)
and can be read off the scale to the right of
T
. Read the first two digits from the brown scale and the third digit from the pink Vernier scale, where a pink mark is aligned with a brown mark.
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