Differentiation of Exponential and Logarithmic
Functions
Exponentialfunctionsandtheircorrespondinginversefunctions,calledlogarithmic
functions,havethefollowingdifferentiationformulas:
Notethattheexpon
Tangent Lines
The first problem that were going to take a look at is the tangent line problem.
Before getting into this problem it would probably be best to define a tangent
line.
A tangent line to th
Rates of Change
Here we are going to consider a function, f(x), that represents some quantity
that varies as x varies. For instance, maybe f(x) represents the amount of water
in a holding tank after x
Velocity Problem
Velocity is nothing more than the rate at which the position is changing.
In other words, to estimate the instantaneous velocity we would first compute
the average velocity,
Change of