Question

How does the use of the use of the product rule differ from the chain rule? Give an example of each and explain how they are different.

Answer 1

the product rule is applicable to the product of 2 or more functions

the chain rule is the result of the composition of 2 or more functions

Answer 2

i spose it could be said for 1 or more functions ....

Answer 3

\[\frac{d}{dx}x(x) = x'(x)*x'\]

Answer 4

all single variables are a function of themselves

Answer 5

chain rule is for composite function while product rule is used to differentiate function which is product of simpler function

Answer 6

@amistre64 is that an example of chain or product rule?

Answer 7

that last one is a rather trivial chain rule