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When differentiating the product of two factors, uand v,the Product Rule can be used.
State the Product Rule.
Suggested Answer: B
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33 comments · newest first
FE
Felicitas
10 months ago
I thought it was more complicated than that!
AI
Ailene
11 months ago
Yup, classic rule for derivatives!
SA
Sarah
11 months ago
Wait, is that really all there is to it? Seems too simple.
SH
Shad
11 months ago
Totally agree, it's super useful!
JU
Junita
11 months ago
The Product Rule states: (u*v)' = u'v + uv'.
AV
Avery
12 months ago
I keep mixing up the Product Rule with the Quotient Rule. I hope I remember the right formula during the exam!
VI
Vicky
12 months ago
I practiced a similar question last week, and I think it was something like u'v + uv'.
SH
Shenika
12 months ago
I'm not entirely sure, but I remember something about differentiating u and v separately and then combining them.
RE
Reita
1 year ago
I think the Product Rule states that the derivative of a product is the first function times the derivative of the second plus the second function times the derivative of the first.
BE
Becky
1 year ago
This is a straightforward differentiation question, so I'll apply the Product Rule step-by-step to solve it.
JI
Jimmie
1 year ago
Okay, the Product Rule is about differentiating a product of two functions. I just need to remember the specific formula.
ST
Stevie
1 year ago
Hmm, I'm a bit unsure about the exact wording of the Product Rule. I'll need to think this through carefully.
VA
Val
1 year ago
I'm pretty confident I know the Product Rule, so I'll start by writing that down.
CO
Corinne
1 year ago
I heard the Product Rule is the secret ingredient in my grandma's famous math cookies. Mmmm, derivative-licious!
QU
Quentin
1 year ago
The Product Rule, huh? I bet the answer is hidden in plain sight. Time to put on my detective hat and crack this case!
NA
Natalie
1 year ago
Hmm, let me think this through carefully. The Product Rule is crucial, but I want to make sure I have it down pat.
SA
Salina
1 year ago
Aileen: Definitely, it's a fundamental rule to know and apply.
SA
Salley
1 year ago
User 3: I agree, the Product Rule is a key concept in calculus.
AI
Aileen
1 year ago
User 2: Thanks for explaining that. It's important to remember when differentiating products.
LA
Lauran
1 year ago
User 1: The Product Rule states that the derivative of a product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first.
MA
Marci
1 year ago
Ah, the old Product Rule. Gotta love it when they ask about the fundamentals. This one's a piece of cake!
FR
Fredric
1 year ago
Option D: (u*v)' = u - v
DO
Dominga
1 year ago
Option C: (u*v)' = u + v
MI
Mira
1 year ago
Option B: (u*v)' = u'v' + uv
GE
Gerald
1 year ago
Option A: (u*v)' = u'v + uv'
VA
Vallie
1 year ago
The Product Rule seems straightforward, but I want to double-check the exact formula before answering.
ER
Ernestine
1 year ago
Option D: (uv)' = u'v' + uv'
VA
Vashti
1 year ago
Option C: (uv)' = u'v' + uv
JE
Jenelle
1 year ago
Option B: (uv)' = u'v + uv'
SC
Scot
1 year ago
Option A: (u*v)' = u'v + uv'
LA
Lai
2 years ago
I'm not sure, can someone explain why that formula is used for differentiating the product of two factors?
TY
Tyisha
2 years ago
I agree with Gwen, that's the correct formula for the Product Rule.
GW
Gwen
2 years ago
I think the Product Rule is (u*v)' = u'v + uv'.