Suppose f is a differentiable function of x and y, and g(u,v)=f(e^u+sinv, e^u+cosv) use the table of values to calculate gu(0,0) and gv(0,0).
at (0,0) f=3, g=6 fx=4 fx=8
I have no clue how to do this someone please help
Well I am not the same person who posted this thread. However, assuming this person was referring to problem #11 of section 11.5 of Essential Calculus-Early Transcendentals (James Stewart), then these are the correct values. If I am not mistaken, gu(0,0)=fx(1,2)e^u +fy(1,2)e^u =2e^0 +5e^0=7. gv(0,0) is not much different.
Oh, I see! (Although if you had gone on a 4-month quest for the table of values perhaps you would have have returned a different person!)
I don't think you're mistaken. Hopefully you can also see how Danny was holding one variable constant while differentiating with respect to the other.