Differentiate the following function sqrt{secx^3secx3 ?

I took the derivatives and got 1/2(secx^3)^(-1/2)*secx^3*tanx^3*3x^212(secx3)12secx3tanx33x2

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

1 Answer
Jun 11, 2018

3/2*sqrt(sec(x^3))*x^2*tan(x^3)32sec(x3)x2tan(x3)

Explanation:

it is
1/2*(sec(x^3))^(-1/2)*3x^2*sec(x^3)*tan(x^3)12(sec(x3))123x2sec(x3)tan(x3)
which simplifies to

3/2*sqrt(sec(x^3))*x^2*tan(x^3)32sec(x3)x2tan(x3)