The directional derivative and the chain rule

 

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https://ximera.osu.edu/certificate/H4sIAAAAAAACAz2MwQrCMBBEf0Vy1iZNqpXeRMGLJ9GLt212wYW2gWwigvjvJhdP8xhm3kctMJMa1DmTpNVdKKq1yjUG9eaZIjRBckOYdW1F73p0OAJ2rcUO0I4wGrsDV24IqaqssduNcZu2u5l%2BcG4wbdPu%2B0dZ%2BJCj1I2eQ%2FB5yqKRI%2FnEYYHpRJFfkPhFhwWPT%2BDlmifS9KboWUj%2BdGFJxZY4TVVWUHyIBc33B9PDLOXRAAAA/tL9Vs8q4RBiYnqeGuhYrCV%2FHKqtHG5ibZaeOiuVqE3KYX4euOdA4Wp4Ia3IcW9Eh%2FKf606IEm5C03PkUMbU5T6Nkva7a2av%2Fr8ubwbNXuGZr4L1Udybl3%2F%2B12kRl5%2FXe%2BcHzDPVR0Uq07rioNjmVgNRr5oZMvK7USh6fpz7lRa3ZL4UQ%2FfOi8dzbWh6bIR7fVThAw2xjUzys%2FVzUqW3OIkBms0DnM2zhXIfCPrhVOfH97MUsE7HUnaLiL%2BWLMNLuytwFDi0FellIZWDePssn0kpCs1qEA80q%2B43X0B5oYwieEyp8Va1Cvo8%2BgOdKyEv%2FsK4KrEuCN%2F36E0f%2FijSyUQ%3D%3D