Arts & Humanities
Beauty & Style
Business & Finance
Cars & Transportation
Computers & Internet
Consumer Electronics
Dining Out
Education & Reference
Entertainment & Music
Environment
Family & Relationships
Food & Drink
Games & Recreation
Health
Home & Garden
Local Businesses
News & Events
Pets
Politics & Government
Pregnancy & Parenting
Science & Mathematics
Social Science
Society & Culture
Sports
Travel
Yahoo Products

16 years ago

in simple easy words...

Top 6 Answers

16 years ago

In calculus, the chain rule is a formula for the derivative of the composite of two functions.
For detailed discussion, see this link.
http://en.wikipedia.org/wiki/Chain_rule
This will be helpful for you to understand cleearly. It also has very good explanation and examples. I too have studied from this and got good idea about the chain rule.
Hope you can clearly understand like me from there.

0

16 years ago

The derivative of a nested function is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function. That's as simple as I can say it. You could write it this way:
(f(g(x)))' = f'(g(x))*g'(x)

0

16 years ago

The chain rule is used to simplify differentiation.
Example: y = 3x^4
dy/dx = 12x^3
Suppose t=x^2, then y = 3t^2, so dy/dt = 6t
But to find dy/dx, we have to find dt/dx:
dt/dx = 2x
So, dy/dx = (dy/dt)*(dt/dx) = 6t*2x
but since t = x^2,
dy/dx = (dy/dt)*(dt/dx) = 6t*2x=6*(x^2)*2x
= 12x^3
Can you see how the chain rule simplifies this sort of differentiation?

0

16 years ago

if you are differentiating y = sin(ln(x))
you will first think of it as sin (?) and use the derivative cos(?)
then you think of ? = ln(x) whose derivative is (1 / x)
so that the complete answer is dy/dx = cos(ln(x)) * (1 / x)
another example is if you are differentiating y = â{tanx}
you will think of it as â(?) and use the derivative 1/[2â(?)]
then you see that ? = tan(x) whose derivative is secÂ² x
so that the full answer is dy/dx = {1/[2â(tanx)]} * secÂ² x
chain rule can be extended to any number of functions

0

16 years ago

y is a function in terms of t,
chain rule:
dy/dt=(dy/dx)(dx/dt)

0

Carmelo Anthony or Rashad Lewis?Is Cetaphil tested on animals?How easy is it for a beginner to replace the handlebars on a 2006 Honda Shadow Spirit 750?is the equation 0 ≤ 6 true?explain your answer and give sWhat's the difference between an endemic disease and an epidemic disease?Is Journey to the Center of the Earth no longer in theaters?!Where can I find realistic CZ silver engagement rings?I have to lip sync and dance to song but I cant find one. Help?How long has the United States Postal Service been in business?What does this mean? Translation in english please. I think its french?