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.

Question

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

all single variables are a function of themselves

anonymous · Answer

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

anonymous · Answer

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

amistre64 · Answer

that last one is a rather trivial chain rule