Differentiate the following function #sqrt{secx^3# ?

Question

I took the derivatives and got #1/2(secx^3)^(-1/2)secx^3tanx^3*3x^2#

but I'm not sure how to simplify this to find the answer

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Answer 1 · 2018-06-11T11:24:12

#3/2*sqrt(sec(x^3))*x^2*tan(x^3)#

it is
#1/2*(sec(x^3))^(-1/2)*3x^2*sec(x^3)*tan(x^3)#
which simplifies to

#3/2*sqrt(sec(x^3))*x^2*tan(x^3)#