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Question #89a1e

1 Answer

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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