Differentials
Consider the function f(:1:) = 1 2:132 at the point (1, 1)
What is the equation of the tangent line at that point?
As long as we stay "close" to the domain value of :1: : 1, this tangent line
equation can be used to approximate the
Extrema on an Interval
Defn:
Let f be a function dened at c. Ifc e (a, (9) such that f(ac) g f(c)
for all me (a, b) then f(c) is a relative maximum.
Let f be a function dened at c. Ifc e (a, b) such that f(x) 2 f(c)
for all 1136((1, b) then f(c) is a r
Related Rates
One very common use for implicit differentiation is to solve for
Related rates: We will be investigating formulas or problems which
will relate two or more variables. If the variables are changing WRT time,
then their rates of change WRT