Section 2.7.
Read the entire section. Answer the following questions
by 7:00 am. Send an e-mail with subject line **MA251**
to selliott@utm.edu .

Pay particular attention to Definition1, Definition 4, and Equation 5.

1) Fill in the blank: The tangent line to y = f(x) at (a,f(a)) is the line through (a,f(a)) whose slope is equal to the __________ of f at a.

1) derivative

Elina Geut

2) Fill in the blank: The instantaneous
velocity at time t=*a* of a falling object is
equal to the _________ of the line tangent to the graph
of the position function at the point (a,f(a)).

2.)Slope

Austin Gullet

3) On page 148 we are given a second
interpretation of the derivative. Fill in the
blanks. The derivative f'(a) is the
___________ ____________ of _________ of y = f(x)
with respect to _______ when x = _________ .

3)instantaneous, rate, change, x, a

Nicholas Allen