【General guidance】The answer provided below has been developed in a clear step by step manner.Step1/2Given the function \( \mathrm{{f{{\left({x}\right)}}}={x}-{\sin{{x}}}} \)Differentiating \( \mathrm{{f}'{\left({x}\right)}={1}-{\cos{{x}}}} \)Explanation:Please refer to solution in this step.Step2/2For critical points \( \mathrm{{f}'{\left({x}\right)} ... See the full answer