Can someone help me with this linear approximation question?

Question

anonymous · Answer

Its in the screenshot attached

anonymous · Answer

The way my prof solved it is he found the partial derivatives for Fx, and Fy and then he used some sort of formula but he lost me there. Can someone explain why I need to find the partial derivatives in this case?

I think the formula he used was F(x,y)-F(xo,yo)

anonymous · Answer

@sammixboo can you help me with this question? :)

misty1212 · Answer

HI!!

anonymous · Answer

Hi! @misty1212

misty1212 · Answer

remember those old questions from the beginning of the class that said "find the equation of the line tangent to the graph of ..."?

misty1212 · Answer

you find the point, and then find the slope by taking the derivative and plugging in the first x value

misty1212 · Answer

then you use the point - slope formula

misty1212 · Answer

that is all this is

anonymous · Answer

So he did this with partial derivatives... Here are my notes

anonymous · Answer

I know the point slope its just what is he doing with the partial derivative?

anonymous · Answer

@misty1212

anonymous · Answer

@iambatman

anonymous · Answer

Hey @pooja195 I posted my notes of the full written solution. Can you explain how to get it?

pooja195 · Answer

O_O i dont know that @AlexandervonHumboldt2 might know...