Calc Cheat sheet
Function
One input of y cannot have more than 1 input of x
X is the independent variable, It is a variable that stands alone and isn't changed by
the other variables you are trying to measure.
Y is the dependant variable, It is something that depends on other factors
Explicit form
A variable expressed as another variable
?
= 3
?
2
+ 2, the variable y is explicitly written as a function of x.
implicitly
cos(
??
)=
??
+ sin(
?
), is defined implicitly, there is
no method to solve for y
and express the
function explicitly.
Difference quotient
Tells the slope of the secant line that passes through two points of the curve measure of the
average rate of change of the function over an interval (in this case, an interval of length h)
Simplifying expression to cancel out h
1.
Factoring technique
2.
Rationalize Number technique
3.
Common denominator technique
Piece wise function
When a function is defined by different equations on different parts of its domain, it is called a
piecewise- defined function