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Home Q & A Board Science-Related Homework Help Mathematics
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juelz juelz
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11 years ago
I need to find the derivative using the power chain rule of y=(cos(x^4)+x^3))^8

I have to Simplify out the greatest common factor..help me please..Thank You
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#1
11 years ago
It's like orange, you peel ( or work out side then inside)...

anyway,

you deal with the outer most power.

First one:(whole thing inside)^8 = 8(whole thing inside)^7

8(cos(x^4)+x^3))^7

second one: inside we have 3 term. cos(x^4) also we have to deal with product rule too.

(cosx)^4 = 4(cosx)^3(-sinx)

third one: x^3 = 3x^2

now combine:

8(cos(x^4)+x^3))^7((4(cosx)^3(-sinx))+3x^2))
wrote...
#2
11 years ago
I worked it out and here's a pic of it:
http://i483.photobucket.com/albums/rr196/alegna229/chainrule.jpg
wrote...
#3
11 years ago
Just work inside out first multiply by 8 and change the power to 7 so on and so forth.
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