Question

what is the 1st derivative of: fg

what is the 2nd derivative of: fg

what is the 2rd derivative of: fg

is there a pattern that you can relate to the nth derivative of: fg ?? what is the 1st derivative of: fg

what is the 2nd derivative of: fg

what is the 2rd derivative of: fg

is there a pattern that you can relate to the nth derivative of: fg ?? @Mathematics

Answer 1

2rd means 3rd, not turd lol

Answer 2

Sure. Write it down and you'll see it.

Answer 3

oh, ive seen it; this is for the benefit of those who havent ;)

Answer 4

ok

Answer 5

\[y=fg\]\[y'=f'g+fg'\]using the product rule
this gives 2 new products, so you can carry on using same rule to get 2nd, 3rd, etc
you should then be able to spot the pattern.

Answer 6

its rather pascal to me

Answer 7

@amistre64 - a rather sneeky pointer to what the solution looks like :-)