1. Compare the quotient rule to the product rule. What is similar about the two rules? What is different?

Answer 1

The product rule of differentiation and the product rule of differentiation are by-products of the Chain Rule of differentiation.
The simplest proof of the quotient rule is based on the product rule.
for two functions u and v, we may find the derivative of the product of the functions,
d(uv)/dx
if x is the variable by using the product rule.
Say one function is (1/v) instead of v, the derivative of the product is then,
d(u/v)/dx
which may well be found by using the product rule but the quotient rule makes things easier.

Answer 2

I'm not sure whether the first three answers have given you what you want; nor am I sure just why you're asking this.

The two rules are similar in that they both relate to a function formed from two other functions, u and v. I'll use u' and v' for their derivatives. Both formulas involve two terms in which each function is differentiated separately, i.e. u'v for one term and uv' for the other.

The differences are:
1. In the formula for differentiating the product uv those terms are added, for the quotient u/v they are subtracted; AND REMEMBER TO PUT THE TERM WITH DERIVATIVE OF THE NUMERATOR (u') FIRST!

2. The quotient formula has a denominator, v^2, but the product formula hasn't.

Recognising these things should help you remember both formulas accurately.

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Answer 3

what kind of rule are you talking about?

Answer 4

http://everything2.com/index.pl?node=product%20rule
Try the above link... Maybe it'll help...