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How do you differentiate #H(x)=(x+x^-1)^3#?

1 Answer

Nov 27, 2016

#H'(x)=3(x^2+1-x^(-2)-x^(-4))#

Explanation:

#H'(x)=3(x+x^(-1))^2*(1-x^(-2))#
#H'(x)=3(x^2+2+x^(-2))*(1-x^(-2))#
#H'(x)=3(x^2+2+x^(-2)-1-2x^(-2)-x^(-4))#

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