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# Identifying Function, Derivative and Second Derivative from a Curve

Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives:
is the graph of the function
is the graph of the function's first derivative
is the graph of the function's second derivative
Enter a T or an F in each answer space below to indicate whether the corresponding equation is true or false.
An equation is true only if it is true for all values of the variables. Disregard values that make denominators 0.

1.
2.
3.
4.
Match the functions and their derivatives:
1.
2.
3.
4.
A.
B.
C.
D.
Evaluate the limit

Find the equation of the tangent line to the curve at the point . The equation of this tangent line can be written in the form where is:
and where is:

#### Solution Preview

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Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives:
B is the graph of the function
A is the graph of the function's first derivative
C is the graph of the function's second derivative
Enter a T or an F in each answer space below to indicate whether the ...

#### Solution Summary

Functions and derivatives are investigated. The solution is detailed and well presented.

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