chapters 2-3 Flashcards
What is the precise definition of a limit?
Let f(x) be defined on an open interval about c, except possibly at c itself. We say that limit of f(x) as x approaches c is the number l, and write
lim f(x) = L
X->C, If for ever number £>0, there exists a corresponding number d>0 such that
| f(x) -L | < £ whenever 0< | x-c | < d.
(A+b)2 equals?
A2+ 2ab + b2
how to find Q ??
(X+h, sub x+h into the given equation)
How to find tangent line?
Point slope form.
Y-y1= m(x-x1)
Lim SINfeta equals?
0
Lim COS feta equals?
1
SINfeta/feta equals?
1
The definition of a slope of a curve
If there is a tangent line to the curve at P, a line that grazes the curve like the tangent to a circle, it would be reasonable to identify that slope of a tangent line as the slope of a curve at P.
How to find the vertical asymptote?
See the denominator to 0, then solve
Horizontal asymptotes
Greatest coefficient is the same
(A-b)(a+b) equals ??
A2-b2
What is the average rate of change formula?
F(x1+h) - f(x1)
———————
H
How to find the slope of a curve at a point?
Find Q.
This will give you your secant slope
Then you use point slope formula to find the tangent line equation
Prime notation
F1
Denotation
Dy
——
Dx
What is the formula for the AROC of y=f(x) over [x1,x2]?
F(x2-f(x1)
—————-
X2-x1
Derivative formula
Lim. F(x+h)-f(x)
H-> 0. ——————
H
How to find the tangent line?
Use point slope. Y-y1=m(x-x1)
