Question

Question on the Product Rule. How do I differentiate if I have 3 functions multiplying each other. For example: x^3(e^x)(ln(x)). Do I differentiate two first and then do the product rule again with the third?

Answer 1

the product rule is just the sum of each iteration of the next derivative ... if that makes sense

Answer 2

(abcdefgh)' =

a'bcdefgh
+ab'cdefgh
+abc'defgh
+abcd'efgh
+abcde'fgh
+abcdef'gh
+abcdefg'h
+abcdefgh'

Answer 3

yes, you basicly do it multiple times. so let's say f*g*h (all functions) would become:
f" *g*h +f * g" * h + f * g* h"

Answer 4

Ok makes perfect sense! Thanks!

Answer 5

good luck ;)