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Question #9ef93

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Jun 17, 2016

#f'(x)=4(2x-6)^3*2(x^2+1)^5+(2x-6)^4*5(x^2+1)^4*2x#

Explanation:

assume exist #f(x)=(2x-6)^4(x^2+1)^5#
use chain rule
#d/dx(2x-6)^4=4(2x-6)^3d/dx(2x-6)=4(2x-6)^3*2#
same concept
#d/dx(x^2+1)^5=5(x^2+1)^4*2x#

#f'(x)=4(2x-6)^3*2(x^2+1)^5+(2x-6)^4*5(x^2+1)^4*2x#

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