Homework Help: Math

Posted by Hannah on Wednesday, February 23, 2011 at 10:20am.

Find the following function

y=[(x-5)(4x+3)]^5

I arrived at 5(6x-2)[(x-5)(4x+3)]^4

The answer is 5(8x-17)[(x-5)(4x+3)]^4
but I am not sure how they got the 8x-17

Math - Reiny, Wednesday, February 23, 2011 at 10:43am
first line derivative:
5((x-5)(4x+3))^4 (4(x-5) + (4x+3))
= 5((x-5)(4x+3))^4 (4x-20 + 4x+3)
= 5((x-5)(4x+3))^4 (8x - 17)

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