Pythagorean Identities
Definition of Continuity at “a”
Average Value Theorem
Final Amount/Accumulation Model
Area of a Circle
Area of a Trapezoid
Area of an Isosceles Triangle
Area of a Basic Triangle
Area of an Equilateral Triangle
Volume of a Cylinder
Volume of a Cone
Volume of a Sphere
Volume of a Box
Circumference of a Circle
Mean Value Theorem
If f is continuous on [a,b] and differentiable on (a,b), then there exists a value “c” on (a,b) such that f’(c) = [f(b) - f(a)]/(b-a)
Limit Definition of a Function (Limit of a Difference Quotient)
Properties of logs
ln (a x b) = lna + lnb
ln (a/b) = lna - lnb
ln ab = b lna
d/dx lnu = 1/u du/dx
au
elna u
logax
lnx/lna
ln1
0
d/dx arcsecx
1/lxl (square root) x2-1
d/dx arccosx
-1/ lxl (square root) x2-1