The first ones obviously simple, I'm just not sure about the answer to the last two.
http://img237.imageshack.us/img237/4940/ps37adct6.png
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The first ones obviously simple, I'm just not sure about the answer to the last two.
http://img237.imageshack.us/img237/4940/ps37adct6.png
c) is just the quotient rule, but I don't use the quotient rule, so I will leave it for someone else to show you (I would do itQuote:
Originally Posted by SportfreundeKeaneKent
using the product rule myself).
e) g'(x) = 7/x -2 (3) e^(3x)
RonL
Hello, SportfreundeKeaneKent!
I'll try the third one . . .
. . . . . . . . . .(2x² - 5)^3
c) .g(x) . = . --------------
. . . . . . . . . . (x + 1)^4
. . . . . . . .(x + 1)^4 3(2x² - 5)²·4x - (2x² - 5)³·4(x + 1)³
g'(x) . = . -------------------------------------------------------
. . . . . . . . . . . . . . . . . . . .(x + 1)^8
. . . . . . .4(x + 1)³(2x² - 5)² [3x(x + 1) - (2x² - 5)]
Factor: . --------------------------------------------------
. . . . . . . . . . . . . . . . . (x + 1)^8
. . . . . .4(2x² - 5)²(x² + 3x + 5)
. . . = . -----------------------------
. . . . . . . . . . . (x + 1)^5
Is the answer to a.) y'= 18x^2-14x+4/x^1/3?
and the answer to b.) f'(x)=4-12x or 4(1-3x)?
c): I will use the product rule, but you probably will want to use theQuote:
Originally Posted by SportfreundeKeaneKent
quotient rule:
dg/dx = 3 (2 x^2 - 5)^2 (4x) / (x+1)^4 + (2x^2-5)^3 (-4)/(x+1)^5
........= 4 (2 x^2-5)^2/(x+1)^4 [3x - (2x^2-5)/(x+1)]
RonL
Could someone verify the second one b.) ? My friend and I are getting different answers even though there does not appear to be anything wrong with the way that either of us are doing the question.
The answer which I got is 2sqrt(1-4x) - 4x-2/sqrt(1-4x)
b.) f(x) = (2x - 1)*(1 - 4x)^(1/2)Quote:
Originally Posted by SportfreundeKeaneKent
f'(x) = 2*(1 - 4x)^(1/2) + (2x - 1)*(1/2)*(1 - 4x)^(-1/2)*(-4)
I'll let you do the simplifying.
Correct. Be careful with parentheses on here:Quote:
Originally Posted by SportfreundeKeaneKent
2*sqrt(1 - 4x) - (4x - 2)/(sqrt(1 - 4x))
What answer did your friend get? They might be equivalent answers.
Can I simplify that by finding the comon denominator to get this?:
-12/sqrt(1-4x)
What program are you using to write the problem? Obviously it isn't Latex because the system is still down...:rolleyes:
The other answer is 4-12x/sqrt1-4x
I think that that one is right, not sure though.
And qbrk, I don't know how to use that program so...
No, but you can simplify it to:Quote:
Originally Posted by SportfreundeKeaneKent
(4 - 12x)/sqrt(1 - 4x)
Correct. These answers are equivalent.Quote:
Originally Posted by SportfreundeKeaneKent