Please solve using SageMath or Python, thanks!

Problem 2: 3D plotting Grading criteria: mathematical and code correctness. a. Draw a plot of an infinitely differentiable function from R to R including a local maximum, a local minimum, and a saddle point. In [ ]: b. Verify that the function you wrote in part a indeed has a local maximum, a local minimum, and a saddle point that are visible in your plot. You may combine mathematical arguments and Sage calculations for this purpose. In [ ]: Problem 2: 3D plotting Grading criteria: mathematical and code correctness. a. Draw a plot of an infinitely differentiable function from R to R including a local maximum, a local minimum, and a saddle point. In [ ]: b. Verify that the function you wrote in part a indeed has a local maximum, a local minimum, and a saddle point that are visible in your plot. You may combine mathematical arguments and Sage calculations for this purpose. In [ ]