I have ran into this problem on my online math assignment, this week we are covering partial derivatives and higher order partial derivatives, but I don't think I have learnt anything that can help me solve this problem.
So I am given $f_x(9,1)=1, f_y(9,1)=4, f(9,1)=5$
from that I'm supposed to figure out: $f(9,2), f(10,1),f(10,2)$
my question is how do I approach this and figure out an approximation given the partial derivatives? I kind of remember doing some approximations with reiman sums and stuff but I don't think that would apply here.
Thanks in advance!