Math 51
The Derivative
Name:
1. Sketch the graph of y = f (x) if f (0) = 0.
f (x)
2. Consider y = xx .
(a) Find the slope of y = xx at 1.1.
(b) Find the equation of the tangent line to y = xx at 1.1.
Section 2.2 The Limit of a Function
Definition. We say that lim f (x) = L, which is read the limit as x approaches a of f (x) equals L, if
xa
we can make f (x) arbitrarily close to L by taking x value