MATH 2321 Lecture 11: 2.1 pt 3
13 Feb 2019
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Oxay ay ou) - fyx of = fxx at fyy body fry. Kelvb) calc i/i : y = f(x) . ""m a+h)-f(a) slope of tangent hoo line @ Tza calc ii : z = f(x,y), point p=(a,b) - fx (a, b) = lim ath, b) = f(a,b). * = 19th,6)= (a,b) + (h,0) z n stope = fy(a, b) y=b being. Xed t o af(xb) s surface by z=f(x,y) Idez y joy en fx (a, b) = the rate of change of f(x,y). a in the direction of e, at point caib, f(a,b)) fulab)= the roc of f(x,y) eart the x-axis at point (a, b, f(a,b)) slope=5, (9,62. Ir3 x= x(u, v) (u, v) (x, y, z) y = y(u, v). sm. A let f (r, e) = (v caso, r sind), x = x(1,2)= reose. : y = y(r. 2) = rsine then fr = (xr, yr) = (coso, sino) y- fo=(xo, yo) = (-rsine, rase) for = (xw.
