Use the appropriate rule or combination of rules to find the derivative of the function defined below. y = sin (x^4) cos (x^4)

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i used the product rule for both sin and cos to get (sin*4x^3+x^4*cos)(cos*4x^3*x^4-sinx)

but my answer should look something like: 4cos(x^4)^2*x^4 -4sin(x^4)^2*x^4

product rule and chain rule

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