2.8-2.9 Product and Quotient Rule Flashcards
1
Q
When using rules, can I ever do more than one derivative in a single term?
A
No! Derivatives always take terms…
2
Q
What is the product rule (in words)?
A
Take the derivative of the first, times the second. Then add the derivative of the second times the first. OR
Take the derivative of the first, leave the second and add the derivative of the second, leave the first.
3
Q
Product rule in practice: d/dx[x^2 * sin x]
A
2x*sin x + cos x * x^2
4
Q
A
5
Q
A
6
Q
Quotient Rule (in words)
A
Like the product rule but with a minus over the bottom squared. So, the derivative of the top * bottom minus derivative of bottom * top. LodHi - HidLo over Lo*Lo we go!
