Question Function Evaluate the derivative Find the domain Find the x-intercept/zero Load more f′(x)=x9cos(9ln(x)) Evaluate f(x)=sin(9ln(x))Take the derivative of both sides f′(x)=dxd(sin(9ln(x)))Use the chain rule dxd(f(g))=dgd(f(g))×dxd(g) where the g=9ln(x), to find the derivative f′(x)=dgd(sin(g))×dxd(9ln(x))Use dxd(sinx)=cosx to find derivative f′(x)=cos(g)×dxd(9ln(x))Calculate More Steps Calculate dxd(9ln(x))Simplify 9×dxd(ln(x))Use dxdlnx=x1 to find derivative 9×x1Multiply the terms x9 f′(x)=cos(g)×x9Substitute back f′(x)=cos(9ln(x))×x9Multiply the terms f′(x)=xcos(9ln(x))×9Solution f′(x)=x9cos(9ln(x)) Show Solution Graph