Prove the quotient rule. hint: you can do this directly, but it may be easier to find the derivative of 1/x and then use the cha

Question

Galina-37 [17]

3 years ago

5

Prove the quotient rule. hint: you can do this directly, but it may be easier to find the derivative of 1/x and then use the cha

in rule and the product rule

Mathematics

1 answer:

Bess [88] · Answer 1 · 2022-05-06T13:03:00+03:00

Bess [88]3 years ago

5 0

The quotient rule is
d(u/v) = (u dv - v du) / u2

d(u/v) can written as
d( u (1/v) )

Using the product rule and chain rule
d( u (1/v)) = u d(1/v) + (1/v) du
= u (-1/v2) dv + (!/v) du
= (u dv - v du) / u2