Find the partial derivatives

Question

Find the partial derivatives of the function f(x) = 3e^xy with respect to x and y, and evaluate each of them at the point (1, ln 5).

Answer 1

d/dx [ 3e^xy ] = 3ye^xy ; df/dx | _(1,ln5) = 15ln5

d/dy [ 3e^xy ] = 3xe^xy ; df/dy | _(1,ln5) = 15