How do you find the derivative of #f(x) = (4x^3 + 2x) ^ - 4#?

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Answer 1 · 2016-04-17T12:19:04

#(d f(x))/(d x)=-4(4x^3+2x)^(-5)*(12x^2+2)#

#f(x)=(4x^3+2x)^(-4)#

#u=4x^3+2x#

#f(x)=u^-4#

#(d f(x))/(d u)=-4u^-5#

#(d u)/(d x)=12x^2+2#

#(d f(x))/(d x)=(d f(x))/(d u)*(d u)/(d x)#

#(d f(x))/(d x)=-4u^-5*(12x^2+2)#

#(d f(x))/(d x)=-4(4x^3+2x)^(-5)*(12x^2+2)#