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i have to differentiate these

f(x) = (4 - 2x) (8x^2 - 4x)^5

and

y = ln(3x^4 +2x)

how do i do these

i'm not a big fan of math

2007-09-21 08:17:12 · 3 answers · asked by drexelusadly 1 in Science & Mathematics Mathematics

3 answers

product rule:
derivative of first times second + derivative of second times first:
=(-2) (8x^2 -4x)^5 + (4-2x) (5)(8x^2-4x)^4 (16x-4)

you could clean it up by adding some like terms, but that is it...


derivative of ln:
1/(3x^4+2x) * (12x^3+2)
(12x^3+2) / (3x^4+2x)

you could also clean this up a little too...

2007-09-21 08:24:29 · answer #1 · answered by sayamiam 6 · 0 0

For the first one use the product rule combined with the chain rule.

The second is simply a chain rule.

I would do these for you but I don't feel like typing all those numbers and symbols out.. I am not so great at it.

But once you are done you could email it to me and I will check your work ; )

2007-09-21 15:24:48 · answer #2 · answered by Bear 2 · 0 0

(4 - 2x) (8x^2 - 4x)^5
something like

(4-2x) 5(8x^2-4x)^4 + -2 (8x^2 - 4x)^5

2007-09-21 15:28:48 · answer #3 · answered by Will 4 · 0 0

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