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The figure shows the graph of f(x)=2+x/x+3, along with it's tangent line at the point (0,2). What is f'(0)?

The figure shows the graph of f(x)=2+x/x+3, along with it's tangent line at the point-example-1
User Kim Gentes
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1 Answer

20 votes
20 votes

Answer:

1/3

Step-by-step explanation:

The derivative fo f(x) is at x = 0 is the slope of the tangent line at x = 0.

The slope of the tangent line is found using the two points (0,2 ) and (-6, 0)


slope=(2-0)/(0--6)
slope=(2)/(6)
\boxed{slope=(1)/(3)}

which is our answer!

User Hossein Nasr
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3.2k points