 Shuffle Toggle OnToggle Off
 Alphabetize Toggle OnToggle Off
 Front First Toggle OnToggle Off
 Both Sides Toggle OnToggle Off
 Read Toggle OnToggle Off
Reading...
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
Play button
Play button
25 Cards in this Set
 Front
 Back
Rule 1 of Logarithmic Differentiation

a^b = e^(blna)

Rule 2 of Logarithmic Differentiation

d/dx ca^x = ca^x*lna

L'Hôpital's Rule

If lim g(x)/h(x) is of an indeterminate form, then lim g(x)/h(x) = lim g'(x)/h'(x)

CRI (Chain Rule for Integrals)

d/dx ∫ from c to v(x) of f(t)dt = f(v(x))*v'(x) provided f is continuous on interval [c,v(x)] and v differentiable on at least the domain of xvalues

catenary

hanging cable curve turns out to be a cosh curve!

algorithm

a well defined process of multiple steps that produces the answer to some question

What is a solution to a diffeq?
(General vs. Particular) How do we prove it works? 
An equation specifying a relation (or more preferably a function) that satisfies 1. The differential equation 2. The initial conditions, if any.
a GENERAL equation satisfies the first bullet a PARTICULAR equations satisfies both To prove it works, 1. Take the derivative 2. Plug in to check initial conditions 
∫tanxdx

lncosx+C or lnsecx+C

∫cscxdx

lncscx+cotx+C

∫secxdx

lnsecx+tanx+C

∫cotxdx

lnsinx+C

∫lnxdx

xlnxx+C

d/dx (xlnxx+C)

lnx

∫sinhxdx

coshx+C

∫coshxdx

sinhx+C

∫tanhxdx

lncoshx+C

∫cothxdx

lnsinhx+C

Write e^x a complicated way.

lim as n approaches infnity of (1+x/n)^n

sinhx (sinch)

(e^xe^(x))/2

coshx (kahsh)

(e^x+e^(x))/2

tanhx (thhan)

sinhx/coshx

cschx (coshek)

1/sinhx

sechx (shek)

1/coshx

cothx (cothhan)

1/tanhx

Simpson's Rule

1/3(∆x)(Y0+4Y1+2Y2+4Y3+2Y4+...+2Yn2+4Yn1+Yn)
