AP Calculus AB - Worksheet 27
Derivatives of ln and e
Know the following theorems:
17. A line with slope m passes through the origin and is tangent to
AP Calculus AB Infinite Limits and Finding Asymptotes
What is an Infinite
When a function, f, INCREASES without bound or DECREASES without
bound as x approaches a target value, c, then the limit is called an
INFINITE LIMIT. The notation is:
The Derivative and the Tangent Line Problem
Origins of Calculus (17th
Solve 4 major problems:
tangent line problem.
velocity and acceleration problem.
minimum and maximum problem.
AP Calculus AB Product Rule for Differentiation
Let f(x) = x3 and g(x) = x5
Then f(x) =
and g(x) =
If h(x) = f(x) * g(x), is h(x) = f(x) * g(x) ?
So how do you find
the derivative of a
AP Calculus AB Quotient rules
Proof using the
definition of a
Derivatives of Trig
(use Quotient Rule
to derive formula.)
Two Rules: NO negative exponent
Calculus Cheat Sheet
Precise Definition : We say lim f ( x ) = L if
Limit at Infinity : We say lim f ( x ) = L if we
for every e > 0 there is a d > 0 such that
whenever 0 < x - a < d then f ( x ) - L < e .
can make f ( x ) as clo