. We want
to find the tangent.Calculus
Lesson
06 Derivatives
Back to Dr. Nandor's Calculus Notes Page
Back to Dr. Nandor's Calculus Page
Graph . We want
to find the tangent.
so 
Examples: 
and 
For any point, then, 
,
then fill in for whichever 
we're looking for.
We call 
A function is DIFFERENTIABLE is a derivative exists at every point in its domain. There are
two ways in which the derivative could fail to exist:
1) It could be unbounded: 
2) You could get two different derivatives from either side of some point
in the domain: 
or
Note that if a function is differentiable, then it is continuous, but a function can be continuous
without be differentiable (both of the examples in (2))
Other Examples: find 
for
and
