Question

When do you use product rule compared to chain rule?

Answer 1

You use product rule when you got two terms, chain rule when you got more terms


P.S. Chain rule is actually an extension of the product rule itself

Answer 2

Derivative of f*g. They are multiplied, so they are a product. Use the Product Rule:

(f*g)' = f ' * g + g ' * f



Derivative of f(g(x)). This is a composition. Use the Chain Rule:

(f(g(x))' = g'(x) * f'(g(x))

Answer 3

example:

y=3x
y'=3(x)'
y'=3

but...
y=(x-1)(x+2)
here you go:
\[y'=(x-1)'\cdot (x+2)+(x-1)\cdot (x+2)'\]
\[y'=1\cdot (x+2)+(x-1)\cdot 1\]
\[y'=2x+1 \]

Answer 4

@Mashy no, you are under the impression that the chain rule is a product rule of more than two functions multiplied. this is NOT the case. please check http://en.wikipedia.org/wiki/Chain_rule

Answer 5

Oh I am sorry... !! I dunno why I said that.. But.. the chain rule is actually a derived form of product rule itself

Answer 6

no problemos

Answer 7

Cool, I have a better understanding of them now. Thank you!

Answer 8

The "Composite Rule" in Leibniz notation is the "Chain Rule"