Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

can someone please explain the chain rule in derivatives?

OpenStudy (amistre64):

when a function relies on another function we have to account for it

OpenStudy (amistre64):

the cahin rule is just saying that the outer function depends on the rate of change of its component function(s)

razor99 (razor99):

akshay could u help me

OpenStudy (amistre64):

\[f(g(h(x))):f.depends.on.g.which.depends.on.h.which .deoends.on.x\]

OpenStudy (amistre64):

f depends on g which depends on h which depends on x

OpenStudy (amistre64):

\[\frac{df}{dx}=\frac{df}{dg}\frac{dg}{dh}\frac{dh}{dx}\]

OpenStudy (akshay_budhkar):

@razor how can i help you?

OpenStudy (anonymous):

that's so confusing.. is it possible to get an example please?

razor99 (razor99):

http://en.wikipedia.org/wiki/Chain_rule

razor99 (razor99):

this migt help u bro

OpenStudy (amistre64):

if your one a plane thats flying thru the air; and you walk from the back to the front; how fast are you going? well, that all depends on how you compute your speed; and the rate of change depends on not only your speed but the planes speed so we account for both. the chain rule is doing the same thing forrates of change of functions

OpenStudy (amistre64):

sqrt(sin^2(x)-3) 1/2sqrt(sin^2(x)-3) depends on: ()^2 - 3 2(sin(x)) depends on: sin(x) cos(x) depends on x \[D_x[\sqrt{sin^2(x)-3}\ ]=\frac{1}{2\sqrt{sin^2(x)-3}}*2(sin(x))*cos(x)\]

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!