Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
32 Cards in this Set
- Front
- Back
|
law of exponential change
|
y = y(initial) * e*(kt)
|
|
|
[sin(x)]^2
|
.5-.5cos(2x)
|
|
|
limit -- slope of a curve
|
limit as h approaches 0 of --> [f(a+h) - f(a)] / h
|
|
|
average value
|
1/(b-a) * [antideriv from a to b of f(x)]
|
|
|
[tan(x)]^2 + 1
|
[sec(x)]^2
|
|
|
linearization
|
f(a) - [f ' (a) * (x - a)]
|
|
|
half-life
|
ln(2)/k
|
|
|
optimization
|
draw a picture, write the formula, auxilliary formula, substitute, state boundaries, solve
|
|
|
odd function
|
f(-x) = -f(x)
|
|
|
deriv: cot(x)
|
-[csc(x)]^2
|
|
|
Hooke's Law
|
F = kx
|
|
|
sin(2x)
|
2*sin(x)*cos(x)
|
|
|
deriv: [sin(x)]^-1
|
1/[root(1-x^2)]
|
|
|
even function
|
f(-x) = f(x)
|
|
|
dy/dx of a parametric
|
[dy/dt] / [dx/dt]
|
|
|
deriv: log sub (a) of (x)
|
1/[x * ln(a)]
|
|
|
log(sub a) of (x)
|
ln (x)/ ln (a)
|
|
|
deriv: [tan(x)]^-1
|
1/(1+x^2)
|
|
|
deriv: [cot(x)]^-1
|
-1/(1+x^2)
|
|
|
deriv: tan(x)
|
[sec(x)]^2
|
|
|
[cot(x)]^2+1
|
[csc(x)]^2
|
|
|
deriv: a^x
|
a^x * ln(a)
|
|
|
deriv: e^x
|
e^x
|
|
|
antideriv: u^n (where u is any differentiable function of x)
|
[u^(n+1)] / (n+1)
|
|
|
[cos(x)]^2
|
.5+.5cos(2x)
|
|
|
deriv: [cos(x)]^-1
|
-1/[root(1-x^2)]
|
|
|
antideriv: ln(x)
|
x - (x)ln(x)
|
|
|
deriv: [sec(x)]^-1
|
1/[abs(x)][root(1-x^2)]
|
|
|
deriv: [csc(x)]^-1
|
-1/[abs(x)][root(1-x^2)]
|
|
|
deriv: sec(x)
|
sec(x)*tan(x)
|
|
|
deriv: ln(x)
|
1/x
|
|
|
deriv: csc(x)
|
-csc(x) * cot(x)
|
