by Countyeasy June 5, 2017
Get the cut the chain mug.In calculus, the chain rule is used to differentiate compositions of functions. It states that for any function f which is dependent on a variable u, and u is a function of a second variable x, then f is a function of x.
In Set Theory:
f(u)=u V u(x)=x V Vf(x)
In Calculus:
df/dx = du/dx(dx/du)
In Set Theory:
f(u)=u V u(x)=x V Vf(x)
In Calculus:
df/dx = du/dx(dx/du)
to differentiate (x+1)^2, one could multiply this out and apply the sum rule (derivative of a sum is the sum of the derivatives); but what if it were (x+1)^55? Suddenly the multipling out doesn't look so nice. To apply the chain rule, we must first define the functions. Let f(x)=(x+1)^55 and u=(x+1). Therefore f(x)=u^55. By the chain rule:
df/dx = df/du(du/dx)
df/dx = d/du(u^55)(du/dx)
df/dx = 55u(du/dx)
We earlier defined the variable "u" as (x+1). Now we substitute this in.
df/dx = 55(x+1)d/dx(x+1)
df/dx = 55x+55(1)
df/dx = 55x+55
df/dx = df/du(du/dx)
df/dx = d/du(u^55)(du/dx)
df/dx = 55u(du/dx)
We earlier defined the variable "u" as (x+1). Now we substitute this in.
df/dx = 55(x+1)d/dx(x+1)
df/dx = 55x+55(1)
df/dx = 55x+55
by Gladwarez July 10, 2006
Get the chain rule mug.Related Words
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The most amazing man in the world.
Wonderful lover.
Sometimes too smart.
VERY handsome.
Hard working provider.
HUGE heart.
Beautiful penis.
My everything.
Wonderful lover.
Sometimes too smart.
VERY handsome.
Hard working provider.
HUGE heart.
Beautiful penis.
My everything.
I love you, Caiman.
by addmarew July 10, 2014
Get the Caiman mug.The ancient act of when 2 rival gangs come together to settle a dispute, in the correct style that should be acted out. Both gangs form a circle and their strongest fighters choose a random length of chain from the ground. This art has been handed down, from generation to generation of skilled fighters.
Gang#1) We challenge you to a MEXICAN CHAIN FIGHT!!
Gang#2) Okay, just pick an appropriate area to host our event, and then we will settle this like the civilized people that we have become!!
Gang#2) Okay, just pick an appropriate area to host our event, and then we will settle this like the civilized people that we have become!!
by Kapn October 25, 2004
Get the mexican chain fight mug.Wild; out of control
etym.: possibly derived from Fr. 'se déchaîner,' to burst out; to go wild; to arouse
etym.: possibly derived from Fr. 'se déchaîner,' to burst out; to go wild; to arouse
by lairdweller October 18, 2009
Get the Off the chain mug.A short length of heavy chain used in street fight. UFC fighter Quinton "Rampage" Jackson wears one around his neck for luck.
by AmbroseKalifornia December 9, 2008
Get the rumble chain mug.A daisy chain is a line of people joined end to end (or front to back) in sexual union. The Roman Emperor Tiberius (14-37 AD) was a big fan of the practice and frequently incorporated it in his public orgies. The number of participants in these affairs is sketchy, but a reasonable estimate is about thirty or so
George: Hey Jolene, want to get the group together and try a Daisy Chain?
Jolene: what's a Daisey Chain?
George: like an orgy, but all of us are connected.
Jolene: what's a Daisey Chain?
George: like an orgy, but all of us are connected.
by H. Heroine March 21, 2017
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