Question Function Evaluate the derivative Find the domain Find the x-intercept/zero Load more f′(x)=cos(x)−xsin(x) Evaluate f(x)=cos(x)×xSimplify f(x)=xcos(x)Take the derivative of both sides f′(x)=dxd(xcos(x))Use differentiation rule dxd(f(x)×g(x))=dxd(f(x))×g(x)+f(x)×dxd(g(x)) f′(x)=dxd(x)×cos(x)+x×dxd(cos(x))Use dxdxn=nxn−1 to find derivative f′(x)=1×cos(x)+x×dxd(cos(x))Calculate f′(x)=cos(x)+x×dxd(cos(x))Use dxd(cosx)=−sinx to find derivative f′(x)=cos(x)+x(−sin(x))Solution f′(x)=cos(x)−xsin(x) Show Solution Graph
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