Question

Can somebody help me with "three-link" chain rule?

I'm having a hard time with "three-link" chains:
Find the derivative of g(t)=tan (5-sin2t)

Why is it called "three-link" chain anyway?

Answer 1

tan()

sin() thats 2

Answer 2

well, 2t might be the third

Answer 3

t

2t

-sin(2t)

5-sin(2t)

tan(5-sin(2t))

Answer 4

why its has to be restricted to 3, i got no idea, might be material specific tho

Answer 5

Oh.. so what is the formula?

Answer 6

depends on what it is your trying to accomplish; derivatives i assume?

Answer 7

Yes

Answer 8

f'(g(h(x))*g'(g(h(x))*h'(x)?

Answer 9

tan() = sec^2()

5-sin(2t) = cos(2t)

2t = 2

sec^2(5-cos(2t)) * 2sin(2t)

Answer 10

its like peeling an onion

Answer 11

Where did the 5 from (5-cost(2t)) come from?

Answer 12

tan (5-sin(2t)) <-- you posted it in the problem

Answer 13

the innard in the chain rule stay the same; what pops out is the derivative of the innards

Answer 14

i see what your confused about, i mistyped it :)

Answer 15

is that helpful Denebel?

Answer 16

tan (5-sin(2t))

sec^2(5-sin(2t)) * cos(2t) * 2

Answer 17

.... im integrating and derving in me head for some reason

Answer 18

oh man zarkon is here, maybe he will find something wrong with my work

Answer 19

lagrange did a good write up :)

Answer 20

Does that worry you?

Answer 21

Notation 1) Where did this come from?
2) Where did this go?

Answer 22

Don't make a mistake and I wont point it out.

Answer 23

i worry when noone finds something wrong :)

Answer 24

oh man you sound like my highschool algebra teacher

Answer 25

ok?

Answer 26

Mr. Willmore ?

Answer 27

My title starts with Dr.

Answer 28

mine starts with, "hey you" and ends with "get off my lawn!"

Answer 29

.. I'm still lost lol

Ok I see (-cos(2t)) came from, but where did d(2t) come from?

Answer 30

2t is part of the innards of sin()

Answer 31

Mine starts with Captin

Answer 32

crunch?

Answer 33

lol

Answer 34

yup

Answer 35

lol

Answer 36

well, in all seriousness it starts with Bond.......

Answer 37

James Bond

Answer 38

How would you know that the 3 "links" are tan (), 5-sin2t, and 2t? Why couldn't it be sin2t instead of 2t?

Answer 39

just because