Wednesday
April 16, 2014

Homework Help: Calc- Derivatives

Posted by Chelsea on Friday, October 22, 2010 at 6:42pm.

So, I have a bunch of derivative problems for homework and the only resource I have is the textbook, since we don't have notes. I have just started and want to make sure I'm doing them correctly. Our teacher said we do not have to simplify them either, so I'm also confused if I'm stopping at the right point.

Differentiate.

1. Y(u)= (u^-2 + u^-3)(u^5 - 2u^2)

So, f(x)= (u^-2 + u^-3)
g(x)= (u^5 - 2u^2)

power rule:
= (-2u^-3 + -3u^-4)(5u^4 - 4u)

product rule:
= (-2u^-3 + -3u^-4) * D(5u^4 - 4u) + (5u^4 - 4u) * D(-2u^-3 + -3u^-4)

D(5u^4 - 4u)= 20u^3
D(-2u^-3 + -3u^-4)= 6u^-4 + 12u^-5

2. y = (x + 1)/(x^3 + x - 2)

y-prime=
[(x^3 + x - 2) * D(x + 1) - (x + 1) * D(x^3 + x - 2)]/(x^3 + x - 2)^2

D(x + 1)= x ?
D(x^3 + x - 2)= 4x^2 ?

Please help. I need to understand these, as I have plenty to do!

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Studying for Calc - I have a quiz on derivatives coming up and I really want to ...
Final-Chemistry - I have finals coming up in a week and a half. I know I should ...
Math - I am having trouble figuring out how to do partial derivatives. I have ...
Calculus - Hi~ Thank you for your help! I was trying to work on a problem about ...
ethinic - I don't think this is totally a homework question, but maybe someone ...
writing - okay, for homework, we have to list 10-15 songs that could be used as ...
Writing - Am I using comparatives and superlatives correctly in these sentences...
Grammar and Composition - Can people just give me a bunch of difficult words ...
Math(Please help) - Evaluate: f(x,y)=2x^3e^y a) partial derivative with respect ...
Organic Chemistry - Hello, I just have a quick question that I would like to ...

Search
Members