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Title: How to find the derivative using the power chain rule? Post by: juelz on Sep 23, 2012 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 Title: How to find the derivative using the power chain rule? Post by: micro123 on Sep 23, 2012 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)) Title: Re: How to find the derivative using the power chain rule? Post by: riojamsushi on Sep 26, 2012 I worked it out and here's a pic of it:
http://i483.photobucket.com/albums/rr196/alegna229/chainrule.jpg Title: Re: How to find the derivative using the power chain rule? Post by: mkvckfn7 on Sep 26, 2012 Just work inside out first multiply by 8 and change the power to 7 so on and so forth.
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