ap pre calc unit 5

when does a function not exist

cscillates, VA or jump at the number it approaches

what makes a two sided limit possible

if when approaching from the right and left, they approach the same number, if not then the limit DNE

constant function f(x)=k

x>c, f(x)=k

identity function f(x)=x

x>c, f(x)=c

when can u use limit properties

when k and c are real positive integers and the limits exist

scalar multiple property

sum/diff property

product property-lims

quotient property-lims

power property-lims

nth root property

when can u do direct substitution

when its a continuous function at the limit

what do u do if direct substitution isnt possible"? whats this called?

when u get 0/0, u have an indeterminate form. so u need to factor or rationalize(could be multiplying by conjugate)

whats a tangent line

line that touches one point of a curve

whats the formula to find the slope of a tangent line

m=limh>0 F(x+h)-f(x)/h

what does an odd rational function look like

even rational function

power is positive

what strat should i use for a rational function

divide by the biggest power denominator

what’s a derivative

slope of a tangent like, use h formula

what’s the process of finding a derivative, what does it result it

differentiation, differential equation

what’s the formula for finding a derivative

derivative rules

derivative product rule

derivative quotient rule