Posted by **Christine** on Friday, August 7, 2009 at 10:52am.

Can someone please check my answers below for accurateness? The instructions are: Differentiate and simplify.

1) y=(2x^2+3x-1)(3x^2-5x-3)

y'=(4x+3)(3x^2-5x-3)+(2x^2+3x-1)(6x-5)

2) y=(5x^2+3x-1)(3x^2-5x-3)

y'=(10x+3)(4x^2-3)+(5x^2+3x-1)(8x)

3)y=6x^3-7x^2+5x-7+x^(5/3)-7/(x^3)

y'=18x^2-14x+5+5x^(2/3)+21/(x^4)

4) y=[5x^4-3x^3+6x^2-5x+7-x^(3/2)]/x^2

y'=10x-3+5/(x^2)-14/(x^3)+1/(2((sqrt)x)^3)

5) y=(5x^2-3x+7)(3x^2+7x-2)(6x^2+4x-5)

y'=(10x-3)(3x^2+7x-2)(6x^2+4x-5)+(5x^2-3x+7)(6x+7)(6x^2+4x-5)+(5x^2-3x+7)(3x^2+7x-2)(12x+4)

6) y=(7x^3-5x^2+6x-3)^12

y'=12(21x^2-10x+6)(7x^3-5x^2+6x-3)^11

7) y=(4x^2+3)^5(2x^2-1)^4

y'=[8x(4x^2+3)^4(2x^2-1)^3][5(2x^2-1)+2(4x^2+3)]

8) y=(4x^2+3x-5)^(4/5)

y'=[4(8x+3)]/[5(4x^2+3x-5)^(1/5)]

O.K. Bold the wrong answers or let me know which ones I should double check and fix. Thanks for your help and I really appreciate it because there are no answers to these questions in the back of the book, so I need to know if they are correct. Thank you once again!

- Math -
**Marth**, Friday, August 7, 2009 at 11:22am
On number 2, I believe you copied the question incorrectly.

Many of the problems can be simplified by foiling and adding terms (#1, 2 for example)

- Math -
**drwls**, Friday, August 7, 2009 at 11:35am
#2 is completly wrong

#3 has the wrong coefficent for the x^(2/3) term

#7 looks suspicious

- Math -
**Marth**, Friday, August 7, 2009 at 11:41am
#7 is correctly differentiated and simplified

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