14. [-I1 Points] DETAILS SCALCET814.6.506.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the directional derivative of the function at the given point in the direction of the vector v. {(x, y, z) = my + yez + zeX, (0, 0, 0), v = (5, 3, 1) Need Help? _' Duflo. 0. 0) = 15. [12 Points] DETAILS SCALCETS 14.6.509.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the maximum rate of change of fat the given point and the direction in which it occurs. ftx.y.z) =5":2\"-. (1. 3. 1) maximum rate of change I I direction vector I I 16. [13 Points] SCALCETS 14.7.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) = 2x3 7 6x + 6xy2 local maximum value(s) local minimum value(s) saddle point(s) (X, Y: O = 17. [-13 Points] DETAILS SCALCETS 14.7.014. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) = 6y cos(x), D S x S 27: local maximum value(s) local minimum value(s) UUU saddle point(s) (X. Y. i') =