Question 163089
Use the product rule and the chain rule.
Product rule: : f(x)=a(x)b(x), f'(x)=a(x)*db/dx+da/dx*b(x)
Chain rule: f(x)=g(h(x))=dg/dh*dh/dx
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{{{y=(cos2x)*(x^2+3)^(-1)}}}
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{{{dy/dx=cos(2x)*(-1)*(x^2+3)^(-2)*(2x)+(-sin(2x))*(2)*(x^2+3)^(-1)}}}
{{{dy/dx=2xcos(2x)/(x^2+3)^(2)-2sin(2x)/((x^2+3))}}}