Question #89a1e

1 Answer
Henry W.
Oct 27, 2016

(dy)/(dx)=-6x^2sin(x^3)cos(x^3)

Explanation:

d/(dx)cos^2(x^3)

We have to apply chain rule, where u=cos(x^3)

(dy)/(du)=d/(du)u^2=2u=2cos(x^3)

(du)/(dx)=d/(dx)cos(x^3)=-3x^2sin(x^3)

(dy)/(dx)=(dy)/(du)*(du)/(dx)=2cos(x^3)*-3x^2sin(x^3)

=-6x^2sin(x^3)cos(x^3)

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